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Finding the Fourth Proportional to 898.46, 1,350.42 and 657.89

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Solution

The fourth proportional to 898.46, 1,350.42 and 657.89 is: 988.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.46 : 1,350.42 = 657.89 : x
  2. Step 2: Convert to fraction form
    898.46/1,350.42 = 657.89/x
  3. Step 3: Cross multiply
    898.46x = 1,350.42 × 657.89
  4. Step 4: Simplify right side
    898.46x = 888,417.77
  5. Step 5: Solve for x
    x = 888,417.77/898.46
  6. Step 6: Final answer
    x = 988.83

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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.