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Finding the Fourth Proportional to 883, 1,217.72 and 567.88

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Solution

The fourth proportional to 883, 1,217.72 and 567.88 is: 783.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    883 : 1,217.72 = 567.88 : x
  2. Step 2: Convert to fraction form
    883/1,217.72 = 567.88/x
  3. Step 3: Cross multiply
    883x = 1,217.72 × 567.88
  4. Step 4: Simplify right side
    883x = 691,518.83
  5. Step 5: Solve for x
    x = 691,518.83/883
  6. Step 6: Final answer
    x = 783.15

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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.