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Finding the Fourth Proportional to 837.02, 1,254.63 and 471.71

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Solution

The fourth proportional to 837.02, 1,254.63 and 471.71 is: 707.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.02 : 1,254.63 = 471.71 : x
  2. Step 2: Convert to fraction form
    837.02/1,254.63 = 471.71/x
  3. Step 3: Cross multiply
    837.02x = 1,254.63 × 471.71
  4. Step 4: Simplify right side
    837.02x = 591,821.52
  5. Step 5: Solve for x
    x = 591,821.52/837.02
  6. Step 6: Final answer
    x = 707.06

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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.