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Finding the Fourth Proportional to 1,535.96, 2,304.62 and 658.68

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Solution

The fourth proportional to 1,535.96, 2,304.62 and 658.68 is: 988.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.96 : 2,304.62 = 658.68 : x
  2. Step 2: Convert to fraction form
    1,535.96/2,304.62 = 658.68/x
  3. Step 3: Cross multiply
    1,535.96x = 2,304.62 × 658.68
  4. Step 4: Simplify right side
    1,535.96x = 1,518,007.10
  5. Step 5: Solve for x
    x = 1,518,007.10/1,535.96
  6. Step 6: Final answer
    x = 988.31

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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.