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Finding the Fourth Proportional to 1,098.45, 1,645.47 and 542.30

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Solution

The fourth proportional to 1,098.45, 1,645.47 and 542.30 is: 812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.45 : 1,645.47 = 542.30 : x
  2. Step 2: Convert to fraction form
    1,098.45/1,645.47 = 542.30/x
  3. Step 3: Cross multiply
    1,098.45x = 1,645.47 × 542.30
  4. Step 4: Simplify right side
    1,098.45x = 892,330.15
  5. Step 5: Solve for x
    x = 892,330.15/1,098.45
  6. Step 6: Final answer
    x = 812.35

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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.