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Finding the Fourth Proportional to 837.76, 1,255.40 and 472.04

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Solution

The fourth proportional to 837.76, 1,255.40 and 472.04 is: 707.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.76 : 1,255.40 = 472.04 : x
  2. Step 2: Convert to fraction form
    837.76/1,255.40 = 472.04/x
  3. Step 3: Cross multiply
    837.76x = 1,255.40 × 472.04
  4. Step 4: Simplify right side
    837.76x = 592,599.02
  5. Step 5: Solve for x
    x = 592,599.02/837.76
  6. Step 6: Final answer
    x = 707.36

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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.