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Finding the Fourth Proportional to 1,435.30, 2,149.55 and 702.52

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Solution

The fourth proportional to 1,435.30, 2,149.55 and 702.52 is: 1,052.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.30 : 2,149.55 = 702.52 : x
  2. Step 2: Convert to fraction form
    1,435.30/2,149.55 = 702.52/x
  3. Step 3: Cross multiply
    1,435.30x = 2,149.55 × 702.52
  4. Step 4: Simplify right side
    1,435.30x = 1,510,101.87
  5. Step 5: Solve for x
    x = 1,510,101.87/1,435.30
  6. Step 6: Final answer
    x = 1,052.12

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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.