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Finding the Fourth Proportional to 732.51, 1,098.70 and 589.14

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Solution

The fourth proportional to 732.51, 1,098.70 and 589.14 is: 883.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.51 : 1,098.70 = 589.14 : x
  2. Step 2: Convert to fraction form
    732.51/1,098.70 = 589.14/x
  3. Step 3: Cross multiply
    732.51x = 1,098.70 × 589.14
  4. Step 4: Simplify right side
    732.51x = 647,286.65
  5. Step 5: Solve for x
    x = 647,286.65/732.51
  6. Step 6: Final answer
    x = 883.66

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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.