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Finding the Fourth Proportional to 688.19, 1,032.57 and 363.57

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Solution

The fourth proportional to 688.19, 1,032.57 and 363.57 is: 545.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.19 : 1,032.57 = 363.57 : x
  2. Step 2: Convert to fraction form
    688.19/1,032.57 = 363.57/x
  3. Step 3: Cross multiply
    688.19x = 1,032.57 × 363.57
  4. Step 4: Simplify right side
    688.19x = 375,411.47
  5. Step 5: Solve for x
    x = 375,411.47/688.19
  6. Step 6: Final answer
    x = 545.51

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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.