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Finding the Fourth Proportional to 778.41, 1,074.16 and 429.10

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Solution

The fourth proportional to 778.41, 1,074.16 and 429.10 is: 592.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.41 : 1,074.16 = 429.10 : x
  2. Step 2: Convert to fraction form
    778.41/1,074.16 = 429.10/x
  3. Step 3: Cross multiply
    778.41x = 1,074.16 × 429.10
  4. Step 4: Simplify right side
    778.41x = 460,919.91
  5. Step 5: Solve for x
    x = 460,919.91/778.41
  6. Step 6: Final answer
    x = 592.13

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1.5x scale

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.