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Finding the Fourth Proportional to 877.65, 1,314.33 and 568.56

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Solution

The fourth proportional to 877.65, 1,314.33 and 568.56 is: 851.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.65 : 1,314.33 = 568.56 : x
  2. Step 2: Convert to fraction form
    877.65/1,314.33 = 568.56/x
  3. Step 3: Cross multiply
    877.65x = 1,314.33 × 568.56
  4. Step 4: Simplify right side
    877.65x = 747,275.46
  5. Step 5: Solve for x
    x = 747,275.46/877.65
  6. Step 6: Final answer
    x = 851.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.