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Finding the Fourth Proportional to 1,203.34, 1,659.50 and 829.72

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Solution

The fourth proportional to 1,203.34, 1,659.50 and 829.72 is: 1,144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.34 : 1,659.50 = 829.72 : x
  2. Step 2: Convert to fraction form
    1,203.34/1,659.50 = 829.72/x
  3. Step 3: Cross multiply
    1,203.34x = 1,659.50 × 829.72
  4. Step 4: Simplify right side
    1,203.34x = 1,376,920.34
  5. Step 5: Solve for x
    x = 1,376,920.34/1,203.34
  6. Step 6: Final answer
    x = 1,144.25

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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.