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Finding the Fourth Proportional to 694.19, 1,036.27 and 590.78

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Solution

The fourth proportional to 694.19, 1,036.27 and 590.78 is: 881.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.19 : 1,036.27 = 590.78 : x
  2. Step 2: Convert to fraction form
    694.19/1,036.27 = 590.78/x
  3. Step 3: Cross multiply
    694.19x = 1,036.27 × 590.78
  4. Step 4: Simplify right side
    694.19x = 612,207.59
  5. Step 5: Solve for x
    x = 612,207.59/694.19
  6. Step 6: Final answer
    x = 881.90

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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.