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Finding the Fourth Proportional to 952.71, 1,314.99 and 559.99

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Solution

The fourth proportional to 952.71, 1,314.99 and 559.99 is: 772.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.71 : 1,314.99 = 559.99 : x
  2. Step 2: Convert to fraction form
    952.71/1,314.99 = 559.99/x
  3. Step 3: Cross multiply
    952.71x = 1,314.99 × 559.99
  4. Step 4: Simplify right side
    952.71x = 736,382.89
  5. Step 5: Solve for x
    x = 736,382.89/952.71
  6. Step 6: Final answer
    x = 772.94

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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.