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Finding the Fourth Proportional to 780.42, 1,076.88 and 431.10

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Solution

The fourth proportional to 780.42, 1,076.88 and 431.10 is: 594.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.42 : 1,076.88 = 431.10 : x
  2. Step 2: Convert to fraction form
    780.42/1,076.88 = 431.10/x
  3. Step 3: Cross multiply
    780.42x = 1,076.88 × 431.10
  4. Step 4: Simplify right side
    780.42x = 464,242.97
  5. Step 5: Solve for x
    x = 464,242.97/780.42
  6. Step 6: Final answer
    x = 594.86

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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.