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Finding the Fourth Proportional to 924.28, 1,386.42 and 584.44

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Solution

The fourth proportional to 924.28, 1,386.42 and 584.44 is: 876.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.28 : 1,386.42 = 584.44 : x
  2. Step 2: Convert to fraction form
    924.28/1,386.42 = 584.44/x
  3. Step 3: Cross multiply
    924.28x = 1,386.42 × 584.44
  4. Step 4: Simplify right side
    924.28x = 810,279.30
  5. Step 5: Solve for x
    x = 810,279.30/924.28
  6. Step 6: Final answer
    x = 876.66

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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.