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Finding the Fourth Proportional to 778.42, 1,074.17 and 429.06

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Solution

The fourth proportional to 778.42, 1,074.17 and 429.06 is: 592.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.42 : 1,074.17 = 429.06 : x
  2. Step 2: Convert to fraction form
    778.42/1,074.17 = 429.06/x
  3. Step 3: Cross multiply
    778.42x = 1,074.17 × 429.06
  4. Step 4: Simplify right side
    778.42x = 460,883.38
  5. Step 5: Solve for x
    x = 460,883.38/778.42
  6. Step 6: Final answer
    x = 592.08

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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.