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Finding the Fourth Proportional to 674.52, 1,011.96 and 470.40

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Solution

The fourth proportional to 674.52, 1,011.96 and 470.40 is: 705.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.52 : 1,011.96 = 470.40 : x
  2. Step 2: Convert to fraction form
    674.52/1,011.96 = 470.40/x
  3. Step 3: Cross multiply
    674.52x = 1,011.96 × 470.40
  4. Step 4: Simplify right side
    674.52x = 476,025.98
  5. Step 5: Solve for x
    x = 476,025.98/674.52
  6. Step 6: Final answer
    x = 705.73

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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.