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Finding the Fourth Proportional to 782.13, 1,173.59 and 397.38

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Solution

The fourth proportional to 782.13, 1,173.59 and 397.38 is: 596.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.13 : 1,173.59 = 397.38 : x
  2. Step 2: Convert to fraction form
    782.13/1,173.59 = 397.38/x
  3. Step 3: Cross multiply
    782.13x = 1,173.59 × 397.38
  4. Step 4: Simplify right side
    782.13x = 466,356.32
  5. Step 5: Solve for x
    x = 466,356.32/782.13
  6. Step 6: Final answer
    x = 596.27

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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.