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Finding the Fourth Proportional to 713.07, 983.75 and 565.11

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Solution

The fourth proportional to 713.07, 983.75 and 565.11 is: 779.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.07 : 983.75 = 565.11 : x
  2. Step 2: Convert to fraction form
    713.07/983.75 = 565.11/x
  3. Step 3: Cross multiply
    713.07x = 983.75 × 565.11
  4. Step 4: Simplify right side
    713.07x = 555,924.14
  5. Step 5: Solve for x
    x = 555,924.14/713.07
  6. Step 6: Final answer
    x = 779.62

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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.