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Finding the Fourth Proportional to 1,314.13, 1,972.83 and 584.05

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Solution

The fourth proportional to 1,314.13, 1,972.83 and 584.05 is: 876.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.13 : 1,972.83 = 584.05 : x
  2. Step 2: Convert to fraction form
    1,314.13/1,972.83 = 584.05/x
  3. Step 3: Cross multiply
    1,314.13x = 1,972.83 × 584.05
  4. Step 4: Simplify right side
    1,314.13x = 1,152,231.36
  5. Step 5: Solve for x
    x = 1,152,231.36/1,314.13
  6. Step 6: Final answer
    x = 876.80

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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.