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Finding the Fourth Proportional to 772.84, 1,159.50 and 580.12

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Solution

The fourth proportional to 772.84, 1,159.50 and 580.12 is: 870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.84 : 1,159.50 = 580.12 : x
  2. Step 2: Convert to fraction form
    772.84/1,159.50 = 580.12/x
  3. Step 3: Cross multiply
    772.84x = 1,159.50 × 580.12
  4. Step 4: Simplify right side
    772.84x = 672,649.14
  5. Step 5: Solve for x
    x = 672,649.14/772.84
  6. Step 6: Final answer
    x = 870.36

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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.