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Finding the Fourth Proportional to 1,470.40, 2,205.84 and 496.56

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Solution

The fourth proportional to 1,470.40, 2,205.84 and 496.56 is: 744.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.40 : 2,205.84 = 496.56 : x
  2. Step 2: Convert to fraction form
    1,470.40/2,205.84 = 496.56/x
  3. Step 3: Cross multiply
    1,470.40x = 2,205.84 × 496.56
  4. Step 4: Simplify right side
    1,470.40x = 1,095,331.91
  5. Step 5: Solve for x
    x = 1,095,331.91/1,470.40
  6. Step 6: Final answer
    x = 744.92

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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.