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Finding the Fourth Proportional to 713.14, 983.00 and 565.52

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Solution

The fourth proportional to 713.14, 983.00 and 565.52 is: 779.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.14 : 983.00 = 565.52 : x
  2. Step 2: Convert to fraction form
    713.14/983.00 = 565.52/x
  3. Step 3: Cross multiply
    713.14x = 983.00 × 565.52
  4. Step 4: Simplify right side
    713.14x = 555,902.66
  5. Step 5: Solve for x
    x = 555,902.66/713.14
  6. Step 6: Final answer
    x = 779.52

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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.