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Finding the Fourth Proportional to 1,330.32, 1,995.84 and 713.76

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Solution

The fourth proportional to 1,330.32, 1,995.84 and 713.76 is: 1,070.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.32 : 1,995.84 = 713.76 : x
  2. Step 2: Convert to fraction form
    1,330.32/1,995.84 = 713.76/x
  3. Step 3: Cross multiply
    1,330.32x = 1,995.84 × 713.76
  4. Step 4: Simplify right side
    1,330.32x = 1,424,550.76
  5. Step 5: Solve for x
    x = 1,424,550.76/1,330.32
  6. Step 6: Final answer
    x = 1,070.83

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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.