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Finding the Fourth Proportional to 882.81, 1,217.14 and 567.50

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Solution

The fourth proportional to 882.81, 1,217.14 and 567.50 is: 782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.81 : 1,217.14 = 567.50 : x
  2. Step 2: Convert to fraction form
    882.81/1,217.14 = 567.50/x
  3. Step 3: Cross multiply
    882.81x = 1,217.14 × 567.50
  4. Step 4: Simplify right side
    882.81x = 690,719.45
  5. Step 5: Solve for x
    x = 690,719.45/882.81
  6. Step 6: Final answer
    x = 782.41

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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.