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Finding the Fourth Proportional to 869.95, 1,302.33 and 560.89

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Solution

The fourth proportional to 869.95, 1,302.33 and 560.89 is: 839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.95 : 1,302.33 = 560.89 : x
  2. Step 2: Convert to fraction form
    869.95/1,302.33 = 560.89/x
  3. Step 3: Cross multiply
    869.95x = 1,302.33 × 560.89
  4. Step 4: Simplify right side
    869.95x = 730,463.87
  5. Step 5: Solve for x
    x = 730,463.87/869.95
  6. Step 6: Final answer
    x = 839.66

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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.