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Finding the Fourth Proportional to 757.16, 1,142.56 and 730.04

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Solution

The fourth proportional to 757.16, 1,142.56 and 730.04 is: 1,101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.16 : 1,142.56 = 730.04 : x
  2. Step 2: Convert to fraction form
    757.16/1,142.56 = 730.04/x
  3. Step 3: Cross multiply
    757.16x = 1,142.56 × 730.04
  4. Step 4: Simplify right side
    757.16x = 834,114.50
  5. Step 5: Solve for x
    x = 834,114.50/757.16
  6. Step 6: Final answer
    x = 1,101.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.