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Finding the Fourth Proportional to 882.53, 1,217.69 and 567.90

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Solution

The fourth proportional to 882.53, 1,217.69 and 567.90 is: 783.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.53 : 1,217.69 = 567.90 : x
  2. Step 2: Convert to fraction form
    882.53/1,217.69 = 567.90/x
  3. Step 3: Cross multiply
    882.53x = 1,217.69 × 567.90
  4. Step 4: Simplify right side
    882.53x = 691,526.15
  5. Step 5: Solve for x
    x = 691,526.15/882.53
  6. Step 6: Final answer
    x = 783.57

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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.