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Finding the Fourth Proportional to 837.32, 1,255.96 and 260.18

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Solution

The fourth proportional to 837.32, 1,255.96 and 260.18 is: 390.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.32 : 1,255.96 = 260.18 : x
  2. Step 2: Convert to fraction form
    837.32/1,255.96 = 260.18/x
  3. Step 3: Cross multiply
    837.32x = 1,255.96 × 260.18
  4. Step 4: Simplify right side
    837.32x = 326,775.67
  5. Step 5: Solve for x
    x = 326,775.67/837.32
  6. Step 6: Final answer
    x = 390.26

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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.