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Finding the Fourth Proportional to 1,066.71, 1,601.55 and 847.47

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Solution

The fourth proportional to 1,066.71, 1,601.55 and 847.47 is: 1,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.71 : 1,601.55 = 847.47 : x
  2. Step 2: Convert to fraction form
    1,066.71/1,601.55 = 847.47/x
  3. Step 3: Cross multiply
    1,066.71x = 1,601.55 × 847.47
  4. Step 4: Simplify right side
    1,066.71x = 1,357,265.58
  5. Step 5: Solve for x
    x = 1,357,265.58/1,066.71
  6. Step 6: Final answer
    x = 1,272.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.