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Finding the Fourth Proportional to 1,470.38, 2,205.84 and 496.58

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Solution

The fourth proportional to 1,470.38, 2,205.84 and 496.58 is: 744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.38 : 2,205.84 = 496.58 : x
  2. Step 2: Convert to fraction form
    1,470.38/2,205.84 = 496.58/x
  3. Step 3: Cross multiply
    1,470.38x = 2,205.84 × 496.58
  4. Step 4: Simplify right side
    1,470.38x = 1,095,376.03
  5. Step 5: Solve for x
    x = 1,095,376.03/1,470.38
  6. Step 6: Final answer
    x = 744.96

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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.