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Finding the Fourth Proportional to 1,065.79, 1,470.11 and 733.63

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Solution

The fourth proportional to 1,065.79, 1,470.11 and 733.63 is: 1,011.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.79 : 1,470.11 = 733.63 : x
  2. Step 2: Convert to fraction form
    1,065.79/1,470.11 = 733.63/x
  3. Step 3: Cross multiply
    1,065.79x = 1,470.11 × 733.63
  4. Step 4: Simplify right side
    1,065.79x = 1,078,505.78
  5. Step 5: Solve for x
    x = 1,078,505.78/1,065.79
  6. Step 6: Final answer
    x = 1,011.94

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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.