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Finding the Fourth Proportional to 610.80, 916.56 and 584.70

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Solution

The fourth proportional to 610.80, 916.56 and 584.70 is: 877.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.80 : 916.56 = 584.70 : x
  2. Step 2: Convert to fraction form
    610.80/916.56 = 584.70/x
  3. Step 3: Cross multiply
    610.80x = 916.56 × 584.70
  4. Step 4: Simplify right side
    610.80x = 535,912.63
  5. Step 5: Solve for x
    x = 535,912.63/610.80
  6. Step 6: Final answer
    x = 877.39

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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.