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Finding the Fourth Proportional to 836.82, 1,254.76 and 472.02

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Solution

The fourth proportional to 836.82, 1,254.76 and 472.02 is: 707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.82 : 1,254.76 = 472.02 : x
  2. Step 2: Convert to fraction form
    836.82/1,254.76 = 472.02/x
  3. Step 3: Cross multiply
    836.82x = 1,254.76 × 472.02
  4. Step 4: Simplify right side
    836.82x = 592,271.82
  5. Step 5: Solve for x
    x = 592,271.82/836.82
  6. Step 6: Final answer
    x = 707.76

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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.