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Finding the Fourth Proportional to 773.41, 1,159.70 and 580.63

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Solution

The fourth proportional to 773.41, 1,159.70 and 580.63 is: 870.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.41 : 1,159.70 = 580.63 : x
  2. Step 2: Convert to fraction form
    773.41/1,159.70 = 580.63/x
  3. Step 3: Cross multiply
    773.41x = 1,159.70 × 580.63
  4. Step 4: Simplify right side
    773.41x = 673,356.61
  5. Step 5: Solve for x
    x = 673,356.61/773.41
  6. Step 6: Final answer
    x = 870.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.