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Finding the Fourth Proportional to 710.29, 1,065.83 and 538.03

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Solution

The fourth proportional to 710.29, 1,065.83 and 538.03 is: 807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.29 : 1,065.83 = 538.03 : x
  2. Step 2: Convert to fraction form
    710.29/1,065.83 = 538.03/x
  3. Step 3: Cross multiply
    710.29x = 1,065.83 × 538.03
  4. Step 4: Simplify right side
    710.29x = 573,447.16
  5. Step 5: Solve for x
    x = 573,447.16/710.29
  6. Step 6: Final answer
    x = 807.34

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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.