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Finding the Fourth Proportional to 713.66, 1,069.92 and 559.13

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Solution

The fourth proportional to 713.66, 1,069.92 and 559.13 is: 838.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.66 : 1,069.92 = 559.13 : x
  2. Step 2: Convert to fraction form
    713.66/1,069.92 = 559.13/x
  3. Step 3: Cross multiply
    713.66x = 1,069.92 × 559.13
  4. Step 4: Simplify right side
    713.66x = 598,219.02
  5. Step 5: Solve for x
    x = 598,219.02/713.66
  6. Step 6: Final answer
    x = 838.25

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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.