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Finding the Fourth Proportional to 778.51, 1,074.30 and 424.43

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Solution

The fourth proportional to 778.51, 1,074.30 and 424.43 is: 585.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.51 : 1,074.30 = 424.43 : x
  2. Step 2: Convert to fraction form
    778.51/1,074.30 = 424.43/x
  3. Step 3: Cross multiply
    778.51x = 1,074.30 × 424.43
  4. Step 4: Simplify right side
    778.51x = 455,967.83
  5. Step 5: Solve for x
    x = 455,967.83/778.51
  6. Step 6: Final answer
    x = 585.69

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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.