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Finding the Fourth Proportional to 1,353.02, 2,025.87 and 702.38

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Solution

The fourth proportional to 1,353.02, 2,025.87 and 702.38 is: 1,051.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.02 : 2,025.87 = 702.38 : x
  2. Step 2: Convert to fraction form
    1,353.02/2,025.87 = 702.38/x
  3. Step 3: Cross multiply
    1,353.02x = 2,025.87 × 702.38
  4. Step 4: Simplify right side
    1,353.02x = 1,422,935.64
  5. Step 5: Solve for x
    x = 1,422,935.64/1,353.02
  6. Step 6: Final answer
    x = 1,051.68

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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.