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Finding the Fourth Proportional to 1,105.74, 1,524.30 and 773.13

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Solution

The fourth proportional to 1,105.74, 1,524.30 and 773.13 is: 1,065.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.74 : 1,524.30 = 773.13 : x
  2. Step 2: Convert to fraction form
    1,105.74/1,524.30 = 773.13/x
  3. Step 3: Cross multiply
    1,105.74x = 1,524.30 × 773.13
  4. Step 4: Simplify right side
    1,105.74x = 1,178,482.06
  5. Step 5: Solve for x
    x = 1,178,482.06/1,105.74
  6. Step 6: Final answer
    x = 1,065.79

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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.