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Finding the Fourth Proportional to 937.60, 1,291.20 and 675.20

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Solution

The fourth proportional to 937.60, 1,291.20 and 675.20 is: 929.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.60 : 1,291.20 = 675.20 : x
  2. Step 2: Convert to fraction form
    937.60/1,291.20 = 675.20/x
  3. Step 3: Cross multiply
    937.60x = 1,291.20 × 675.20
  4. Step 4: Simplify right side
    937.60x = 871,818.24
  5. Step 5: Solve for x
    x = 871,818.24/937.60
  6. Step 6: Final answer
    x = 929.84

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Why These Related Problems?

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