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Finding the Fourth Proportional to 1,566.52, 2,349.52 and 688.82

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Solution

The fourth proportional to 1,566.52, 2,349.52 and 688.82 is: 1,033.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.52 : 2,349.52 = 688.82 : x
  2. Step 2: Convert to fraction form
    1,566.52/2,349.52 = 688.82/x
  3. Step 3: Cross multiply
    1,566.52x = 2,349.52 × 688.82
  4. Step 4: Simplify right side
    1,566.52x = 1,618,396.37
  5. Step 5: Solve for x
    x = 1,618,396.37/1,566.52
  6. Step 6: Final answer
    x = 1,033.12

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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.