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Finding the Fourth Proportional to 837.61, 1,256.45 and 472.10

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Solution

The fourth proportional to 837.61, 1,256.45 and 472.10 is: 708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.61 : 1,256.45 = 472.10 : x
  2. Step 2: Convert to fraction form
    837.61/1,256.45 = 472.10/x
  3. Step 3: Cross multiply
    837.61x = 1,256.45 × 472.10
  4. Step 4: Simplify right side
    837.61x = 593,161.40
  5. Step 5: Solve for x
    x = 593,161.40/837.61
  6. Step 6: Final answer
    x = 708.16

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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.