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Finding the Fourth Proportional to 1,098.42, 1,648.42 and 521.70

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Solution

The fourth proportional to 1,098.42, 1,648.42 and 521.70 is: 782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.42 : 1,648.42 = 521.70 : x
  2. Step 2: Convert to fraction form
    1,098.42/1,648.42 = 521.70/x
  3. Step 3: Cross multiply
    1,098.42x = 1,648.42 × 521.70
  4. Step 4: Simplify right side
    1,098.42x = 859,980.71
  5. Step 5: Solve for x
    x = 859,980.71/1,098.42
  6. Step 6: Final answer
    x = 782.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.