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Finding the Fourth Proportional to 778.48, 1,074.33 and 424.42

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Solution

The fourth proportional to 778.48, 1,074.33 and 424.42 is: 585.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.48 : 1,074.33 = 424.42 : x
  2. Step 2: Convert to fraction form
    778.48/1,074.33 = 424.42/x
  3. Step 3: Cross multiply
    778.48x = 1,074.33 × 424.42
  4. Step 4: Simplify right side
    778.48x = 455,968.71
  5. Step 5: Solve for x
    x = 455,968.71/778.48
  6. Step 6: Final answer
    x = 585.72

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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.