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Finding the Fourth Proportional to 1,524.40, 2,285.64 and 702.91

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Solution

The fourth proportional to 1,524.40, 2,285.64 and 702.91 is: 1,053.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.40 : 2,285.64 = 702.91 : x
  2. Step 2: Convert to fraction form
    1,524.40/2,285.64 = 702.91/x
  3. Step 3: Cross multiply
    1,524.40x = 2,285.64 × 702.91
  4. Step 4: Simplify right side
    1,524.40x = 1,606,599.21
  5. Step 5: Solve for x
    x = 1,606,599.21/1,524.40
  6. Step 6: Final answer
    x = 1,053.92

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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.