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Finding the Fourth Proportional to 1,065.77, 1,470.44 and 667.50

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Solution

The fourth proportional to 1,065.77, 1,470.44 and 667.50 is: 920.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.77 : 1,470.44 = 667.50 : x
  2. Step 2: Convert to fraction form
    1,065.77/1,470.44 = 667.50/x
  3. Step 3: Cross multiply
    1,065.77x = 1,470.44 × 667.50
  4. Step 4: Simplify right side
    1,065.77x = 981,518.70
  5. Step 5: Solve for x
    x = 981,518.70/1,065.77
  6. Step 6: Final answer
    x = 920.95

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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.