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Finding the Fourth Proportional to 707.65, 1,062.07 and 361.24

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Solution

The fourth proportional to 707.65, 1,062.07 and 361.24 is: 542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.65 : 1,062.07 = 361.24 : x
  2. Step 2: Convert to fraction form
    707.65/1,062.07 = 361.24/x
  3. Step 3: Cross multiply
    707.65x = 1,062.07 × 361.24
  4. Step 4: Simplify right side
    707.65x = 383,663.02
  5. Step 5: Solve for x
    x = 383,663.02/707.65
  6. Step 6: Final answer
    x = 542.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.