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Finding the Fourth Proportional to 1,098.79, 1,648.40 and 358.61

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Solution

The fourth proportional to 1,098.79, 1,648.40 and 358.61 is: 537.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.79 : 1,648.40 = 358.61 : x
  2. Step 2: Convert to fraction form
    1,098.79/1,648.40 = 358.61/x
  3. Step 3: Cross multiply
    1,098.79x = 1,648.40 × 358.61
  4. Step 4: Simplify right side
    1,098.79x = 591,122.69
  5. Step 5: Solve for x
    x = 591,122.69/1,098.79
  6. Step 6: Final answer
    x = 537.98

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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.