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Finding the Fourth Proportional to 838.08, 1,255.41 and 472.10

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Solution

The fourth proportional to 838.08, 1,255.41 and 472.10 is: 707.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.08 : 1,255.41 = 472.10 : x
  2. Step 2: Convert to fraction form
    838.08/1,255.41 = 472.10/x
  3. Step 3: Cross multiply
    838.08x = 1,255.41 × 472.10
  4. Step 4: Simplify right side
    838.08x = 592,672.78
  5. Step 5: Solve for x
    x = 592,672.78/838.08
  6. Step 6: Final answer
    x = 707.18

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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.