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Finding the Fourth Proportional to 772.74, 1,159.12 and 580.16

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Solution

The fourth proportional to 772.74, 1,159.12 and 580.16 is: 870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.74 : 1,159.12 = 580.16 : x
  2. Step 2: Convert to fraction form
    772.74/1,159.12 = 580.16/x
  3. Step 3: Cross multiply
    772.74x = 1,159.12 × 580.16
  4. Step 4: Simplify right side
    772.74x = 672,475.06
  5. Step 5: Solve for x
    x = 672,475.06/772.74
  6. Step 6: Final answer
    x = 870.25

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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.