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Finding the Fourth Proportional to 694.81, 1,036.19 and 592.75

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Solution

The fourth proportional to 694.81, 1,036.19 and 592.75 is: 883.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.81 : 1,036.19 = 592.75 : x
  2. Step 2: Convert to fraction form
    694.81/1,036.19 = 592.75/x
  3. Step 3: Cross multiply
    694.81x = 1,036.19 × 592.75
  4. Step 4: Simplify right side
    694.81x = 614,201.62
  5. Step 5: Solve for x
    x = 614,201.62/694.81
  6. Step 6: Final answer
    x = 883.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.