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Finding the Fourth Proportional to 837.24, 1,254.24 and 471.12

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Solution

The fourth proportional to 837.24, 1,254.24 and 471.12 is: 705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.24 : 1,254.24 = 471.12 : x
  2. Step 2: Convert to fraction form
    837.24/1,254.24 = 471.12/x
  3. Step 3: Cross multiply
    837.24x = 1,254.24 × 471.12
  4. Step 4: Simplify right side
    837.24x = 590,897.55
  5. Step 5: Solve for x
    x = 590,897.55/837.24
  6. Step 6: Final answer
    x = 705.77

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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.