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Finding the Fourth Proportional to 780.59, 1,077.17 and 431.25

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Solution

The fourth proportional to 780.59, 1,077.17 and 431.25 is: 595.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.59 : 1,077.17 = 431.25 : x
  2. Step 2: Convert to fraction form
    780.59/1,077.17 = 431.25/x
  3. Step 3: Cross multiply
    780.59x = 1,077.17 × 431.25
  4. Step 4: Simplify right side
    780.59x = 464,527.41
  5. Step 5: Solve for x
    x = 464,527.41/780.59
  6. Step 6: Final answer
    x = 595.10

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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.