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Finding the Fourth Proportional to 1,098.96, 1,648.62 and 521.52

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Solution

The fourth proportional to 1,098.96, 1,648.62 and 521.52 is: 782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.96 : 1,648.62 = 521.52 : x
  2. Step 2: Convert to fraction form
    1,098.96/1,648.62 = 521.52/x
  3. Step 3: Cross multiply
    1,098.96x = 1,648.62 × 521.52
  4. Step 4: Simplify right side
    1,098.96x = 859,788.30
  5. Step 5: Solve for x
    x = 859,788.30/1,098.96
  6. Step 6: Final answer
    x = 782.37

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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.