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Finding the Fourth Proportional to 1,315.44, 1,972.54 and 767.78

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Solution

The fourth proportional to 1,315.44, 1,972.54 and 767.78 is: 1,151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.44 : 1,972.54 = 767.78 : x
  2. Step 2: Convert to fraction form
    1,315.44/1,972.54 = 767.78/x
  3. Step 3: Cross multiply
    1,315.44x = 1,972.54 × 767.78
  4. Step 4: Simplify right side
    1,315.44x = 1,514,476.76
  5. Step 5: Solve for x
    x = 1,514,476.76/1,315.44
  6. Step 6: Final answer
    x = 1,151.31

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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.