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Finding the Fourth Proportional to 713.26, 983.70 and 565.66

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Solution

The fourth proportional to 713.26, 983.70 and 565.66 is: 780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.26 : 983.70 = 565.66 : x
  2. Step 2: Convert to fraction form
    713.26/983.70 = 565.66/x
  3. Step 3: Cross multiply
    713.26x = 983.70 × 565.66
  4. Step 4: Simplify right side
    713.26x = 556,439.74
  5. Step 5: Solve for x
    x = 556,439.74/713.26
  6. Step 6: Final answer
    x = 780.14

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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.