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Finding the Fourth Proportional to 773.06, 1,159.68 and 773.06

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Solution

The fourth proportional to 773.06, 1,159.68 and 773.06 is: 1,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.06 : 1,159.68 = 773.06 : x
  2. Step 2: Convert to fraction form
    773.06/1,159.68 = 773.06/x
  3. Step 3: Cross multiply
    773.06x = 1,159.68 × 773.06
  4. Step 4: Simplify right side
    773.06x = 896,502.22
  5. Step 5: Solve for x
    x = 896,502.22/773.06
  6. Step 6: Final answer
    x = 1,159.68

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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.