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Finding the Fourth Proportional to 1,066.91, 1,472.69 and 713.45

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Solution

The fourth proportional to 1,066.91, 1,472.69 and 713.45 is: 984.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.91 : 1,472.69 = 713.45 : x
  2. Step 2: Convert to fraction form
    1,066.91/1,472.69 = 713.45/x
  3. Step 3: Cross multiply
    1,066.91x = 1,472.69 × 713.45
  4. Step 4: Simplify right side
    1,066.91x = 1,050,679.75
  5. Step 5: Solve for x
    x = 1,050,679.75/1,066.91
  6. Step 6: Final answer
    x = 984.79

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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.