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Finding the Fourth Proportional to 1,174.92, 1,620.64 and 926.16

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Solution

The fourth proportional to 1,174.92, 1,620.64 and 926.16 is: 1,277.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.92 : 1,620.64 = 926.16 : x
  2. Step 2: Convert to fraction form
    1,174.92/1,620.64 = 926.16/x
  3. Step 3: Cross multiply
    1,174.92x = 1,620.64 × 926.16
  4. Step 4: Simplify right side
    1,174.92x = 1,500,971.94
  5. Step 5: Solve for x
    x = 1,500,971.94/1,174.92
  6. Step 6: Final answer
    x = 1,277.51

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.