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Finding the Fourth Proportional to 1,314.73, 1,972.91 and 584.25

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Solution

The fourth proportional to 1,314.73, 1,972.91 and 584.25 is: 876.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.73 : 1,972.91 = 584.25 : x
  2. Step 2: Convert to fraction form
    1,314.73/1,972.91 = 584.25/x
  3. Step 3: Cross multiply
    1,314.73x = 1,972.91 × 584.25
  4. Step 4: Simplify right side
    1,314.73x = 1,152,672.67
  5. Step 5: Solve for x
    x = 1,152,672.67/1,314.73
  6. Step 6: Final answer
    x = 876.74

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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.