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Finding the Fourth Proportional to 882.77, 1,217.97 and 588.47

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Solution

The fourth proportional to 882.77, 1,217.97 and 588.47 is: 811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.77 : 1,217.97 = 588.47 : x
  2. Step 2: Convert to fraction form
    882.77/1,217.97 = 588.47/x
  3. Step 3: Cross multiply
    882.77x = 1,217.97 × 588.47
  4. Step 4: Simplify right side
    882.77x = 716,732.72
  5. Step 5: Solve for x
    x = 716,732.72/882.77
  6. Step 6: Final answer
    x = 811.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.