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Finding the Fourth Proportional to 778.65, 1,074.52 and 424.58

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Solution

The fourth proportional to 778.65, 1,074.52 and 424.58 is: 585.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.65 : 1,074.52 = 424.58 : x
  2. Step 2: Convert to fraction form
    778.65/1,074.52 = 424.58/x
  3. Step 3: Cross multiply
    778.65x = 1,074.52 × 424.58
  4. Step 4: Simplify right side
    778.65x = 456,219.70
  5. Step 5: Solve for x
    x = 456,219.70/778.65
  6. Step 6: Final answer
    x = 585.91

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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.