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Finding the Fourth Proportional to 758.18, 1,135.76 and 584.24

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Solution

The fourth proportional to 758.18, 1,135.76 and 584.24 is: 875.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.18 : 1,135.76 = 584.24 : x
  2. Step 2: Convert to fraction form
    758.18/1,135.76 = 584.24/x
  3. Step 3: Cross multiply
    758.18x = 1,135.76 × 584.24
  4. Step 4: Simplify right side
    758.18x = 663,556.42
  5. Step 5: Solve for x
    x = 663,556.42/758.18
  6. Step 6: Final answer
    x = 875.20

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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.