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Finding the Fourth Proportional to 881.10, 1,216.48 and 566.50

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Solution

The fourth proportional to 881.10, 1,216.48 and 566.50 is: 782.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.10 : 1,216.48 = 566.50 : x
  2. Step 2: Convert to fraction form
    881.10/1,216.48 = 566.50/x
  3. Step 3: Cross multiply
    881.10x = 1,216.48 × 566.50
  4. Step 4: Simplify right side
    881.10x = 689,135.92
  5. Step 5: Solve for x
    x = 689,135.92/881.10
  6. Step 6: Final answer
    x = 782.13

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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.