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Finding the Fourth Proportional to 1,313.32, 1,972.07 and 765.90

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Solution

The fourth proportional to 1,313.32, 1,972.07 and 765.90 is: 1,150.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.32 : 1,972.07 = 765.90 : x
  2. Step 2: Convert to fraction form
    1,313.32/1,972.07 = 765.90/x
  3. Step 3: Cross multiply
    1,313.32x = 1,972.07 × 765.90
  4. Step 4: Simplify right side
    1,313.32x = 1,510,408.41
  5. Step 5: Solve for x
    x = 1,510,408.41/1,313.32
  6. Step 6: Final answer
    x = 1,150.07

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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.