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Finding the Fourth Proportional to 1,065.34, 1,470.89 and 667.16

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Solution

The fourth proportional to 1,065.34, 1,470.89 and 667.16 is: 921.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.34 : 1,470.89 = 667.16 : x
  2. Step 2: Convert to fraction form
    1,065.34/1,470.89 = 667.16/x
  3. Step 3: Cross multiply
    1,065.34x = 1,470.89 × 667.16
  4. Step 4: Simplify right side
    1,065.34x = 981,315.05
  5. Step 5: Solve for x
    x = 981,315.05/1,065.34
  6. Step 6: Final answer
    x = 921.13

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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.