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Finding the Fourth Proportional to 733.65, 1,098.34 and 386.16

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Solution

The fourth proportional to 733.65, 1,098.34 and 386.16 is: 578.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.65 : 1,098.34 = 386.16 : x
  2. Step 2: Convert to fraction form
    733.65/1,098.34 = 386.16/x
  3. Step 3: Cross multiply
    733.65x = 1,098.34 × 386.16
  4. Step 4: Simplify right side
    733.65x = 424,134.97
  5. Step 5: Solve for x
    x = 424,134.97/733.65
  6. Step 6: Final answer
    x = 578.12

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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.