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Finding the Fourth Proportional to 837.36, 1,253.68 and 471.20

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Solution

The fourth proportional to 837.36, 1,253.68 and 471.20 is: 705.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.36 : 1,253.68 = 471.20 : x
  2. Step 2: Convert to fraction form
    837.36/1,253.68 = 471.20/x
  3. Step 3: Cross multiply
    837.36x = 1,253.68 × 471.20
  4. Step 4: Simplify right side
    837.36x = 590,734.02
  5. Step 5: Solve for x
    x = 590,734.02/837.36
  6. Step 6: Final answer
    x = 705.47

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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.