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Finding the Fourth Proportional to 1,098.34, 1,646.51 and 404.85

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Solution

The fourth proportional to 1,098.34, 1,646.51 and 404.85 is: 606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.34 : 1,646.51 = 404.85 : x
  2. Step 2: Convert to fraction form
    1,098.34/1,646.51 = 404.85/x
  3. Step 3: Cross multiply
    1,098.34x = 1,646.51 × 404.85
  4. Step 4: Simplify right side
    1,098.34x = 666,586.74
  5. Step 5: Solve for x
    x = 666,586.74/1,098.34
  6. Step 6: Final answer
    x = 606.90

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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.