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Finding the Fourth Proportional to 1,402.08, 2,099.88 and 752.52

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Solution

The fourth proportional to 1,402.08, 2,099.88 and 752.52 is: 1,127.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.08 : 2,099.88 = 752.52 : x
  2. Step 2: Convert to fraction form
    1,402.08/2,099.88 = 752.52/x
  3. Step 3: Cross multiply
    1,402.08x = 2,099.88 × 752.52
  4. Step 4: Simplify right side
    1,402.08x = 1,580,201.70
  5. Step 5: Solve for x
    x = 1,580,201.70/1,402.08
  6. Step 6: Final answer
    x = 1,127.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.