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Finding the Fourth Proportional to 1,178.34, 1,626.01 and 654.34

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Solution

The fourth proportional to 1,178.34, 1,626.01 and 654.34 is: 902.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.34 : 1,626.01 = 654.34 : x
  2. Step 2: Convert to fraction form
    1,178.34/1,626.01 = 654.34/x
  3. Step 3: Cross multiply
    1,178.34x = 1,626.01 × 654.34
  4. Step 4: Simplify right side
    1,178.34x = 1,063,963.38
  5. Step 5: Solve for x
    x = 1,063,963.38/1,178.34
  6. Step 6: Final answer
    x = 902.93

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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.