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Finding the Fourth Proportional to 1,315.14, 1,972.78 and 767.02

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Solution

The fourth proportional to 1,315.14, 1,972.78 and 767.02 is: 1,150.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.14 : 1,972.78 = 767.02 : x
  2. Step 2: Convert to fraction form
    1,315.14/1,972.78 = 767.02/x
  3. Step 3: Cross multiply
    1,315.14x = 1,972.78 × 767.02
  4. Step 4: Simplify right side
    1,315.14x = 1,513,161.72
  5. Step 5: Solve for x
    x = 1,513,161.72/1,315.14
  6. Step 6: Final answer
    x = 1,150.57

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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.