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Finding the Fourth Proportional to 837.23, 1,254.62 and 472.12

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Solution

The fourth proportional to 837.23, 1,254.62 and 472.12 is: 707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.23 : 1,254.62 = 472.12 : x
  2. Step 2: Convert to fraction form
    837.23/1,254.62 = 472.12/x
  3. Step 3: Cross multiply
    837.23x = 1,254.62 × 472.12
  4. Step 4: Simplify right side
    837.23x = 592,329.24
  5. Step 5: Solve for x
    x = 592,329.24/837.23
  6. Step 6: Final answer
    x = 707.49

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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.