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Finding the Fourth Proportional to 881.48, 1,217 and 566.89

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Solution

The fourth proportional to 881.48, 1,217 and 566.89 is: 782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.48 : 1,217 = 566.89 : x
  2. Step 2: Convert to fraction form
    881.48/1,217 = 566.89/x
  3. Step 3: Cross multiply
    881.48x = 1,217 × 566.89
  4. Step 4: Simplify right side
    881.48x = 689,905.13
  5. Step 5: Solve for x
    x = 689,905.13/881.48
  6. Step 6: Final answer
    x = 782.67

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Why These Related Problems?

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