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Finding the Fourth Proportional to 1,470.56, 2,206.32 and 649.52

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Solution

The fourth proportional to 1,470.56, 2,206.32 and 649.52 is: 974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.56 : 2,206.32 = 649.52 : x
  2. Step 2: Convert to fraction form
    1,470.56/2,206.32 = 649.52/x
  3. Step 3: Cross multiply
    1,470.56x = 2,206.32 × 649.52
  4. Step 4: Simplify right side
    1,470.56x = 1,433,048.97
  5. Step 5: Solve for x
    x = 1,433,048.97/1,470.56
  6. Step 6: Final answer
    x = 974.49

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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.