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Finding the Fourth Proportional to 922.57, 1,273.61 and 586.82

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Solution

The fourth proportional to 922.57, 1,273.61 and 586.82 is: 810.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.57 : 1,273.61 = 586.82 : x
  2. Step 2: Convert to fraction form
    922.57/1,273.61 = 586.82/x
  3. Step 3: Cross multiply
    922.57x = 1,273.61 × 586.82
  4. Step 4: Simplify right side
    922.57x = 747,384.47
  5. Step 5: Solve for x
    x = 747,384.47/922.57
  6. Step 6: Final answer
    x = 810.11

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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.