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Finding the Fourth Proportional to 847.10, 1,271.06 and 476.66

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Solution

The fourth proportional to 847.10, 1,271.06 and 476.66 is: 715.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.10 : 1,271.06 = 476.66 : x
  2. Step 2: Convert to fraction form
    847.10/1,271.06 = 476.66/x
  3. Step 3: Cross multiply
    847.10x = 1,271.06 × 476.66
  4. Step 4: Simplify right side
    847.10x = 605,863.46
  5. Step 5: Solve for x
    x = 605,863.46/847.10
  6. Step 6: Final answer
    x = 715.22

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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.