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Finding the Fourth Proportional to 780.74, 1,077.45 and 431.42

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Solution

The fourth proportional to 780.74, 1,077.45 and 431.42 is: 595.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.74 : 1,077.45 = 431.42 : x
  2. Step 2: Convert to fraction form
    780.74/1,077.45 = 431.42/x
  3. Step 3: Cross multiply
    780.74x = 1,077.45 × 431.42
  4. Step 4: Simplify right side
    780.74x = 464,833.48
  5. Step 5: Solve for x
    x = 464,833.48/780.74
  6. Step 6: Final answer
    x = 595.38

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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.