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Finding the Fourth Proportional to 795.65, 1,098.42 and 534.11

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Solution

The fourth proportional to 795.65, 1,098.42 and 534.11 is: 737.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.65 : 1,098.42 = 534.11 : x
  2. Step 2: Convert to fraction form
    795.65/1,098.42 = 534.11/x
  3. Step 3: Cross multiply
    795.65x = 1,098.42 × 534.11
  4. Step 4: Simplify right side
    795.65x = 586,677.11
  5. Step 5: Solve for x
    x = 586,677.11/795.65
  6. Step 6: Final answer
    x = 737.36

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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.