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Finding the Fourth Proportional to 837.12, 1,254.72 and 760.32

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Solution

The fourth proportional to 837.12, 1,254.72 and 760.32 is: 1,139.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.12 : 1,254.72 = 760.32 : x
  2. Step 2: Convert to fraction form
    837.12/1,254.72 = 760.32/x
  3. Step 3: Cross multiply
    837.12x = 1,254.72 × 760.32
  4. Step 4: Simplify right side
    837.12x = 953,988.71
  5. Step 5: Solve for x
    x = 953,988.71/837.12
  6. Step 6: Final answer
    x = 1,139.61

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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.