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Finding the Fourth Proportional to 1,015.20, 1,400.92 and 642.50

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Solution

The fourth proportional to 1,015.20, 1,400.92 and 642.50 is: 886.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.20 : 1,400.92 = 642.50 : x
  2. Step 2: Convert to fraction form
    1,015.20/1,400.92 = 642.50/x
  3. Step 3: Cross multiply
    1,015.20x = 1,400.92 × 642.50
  4. Step 4: Simplify right side
    1,015.20x = 900,091.10
  5. Step 5: Solve for x
    x = 900,091.10/1,015.20
  6. Step 6: Final answer
    x = 886.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.