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Finding the Fourth Proportional to 847.11, 1,271.03 and 476.47

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Solution

The fourth proportional to 847.11, 1,271.03 and 476.47 is: 714.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.11 : 1,271.03 = 476.47 : x
  2. Step 2: Convert to fraction form
    847.11/1,271.03 = 476.47/x
  3. Step 3: Cross multiply
    847.11x = 1,271.03 × 476.47
  4. Step 4: Simplify right side
    847.11x = 605,605.28
  5. Step 5: Solve for x
    x = 605,605.28/847.11
  6. Step 6: Final answer
    x = 714.91

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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.