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Finding the Fourth Proportional to 1,647.52, 2,470.64 and 492.96

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Solution

The fourth proportional to 1,647.52, 2,470.64 and 492.96 is: 739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.52 : 2,470.64 = 492.96 : x
  2. Step 2: Convert to fraction form
    1,647.52/2,470.64 = 492.96/x
  3. Step 3: Cross multiply
    1,647.52x = 2,470.64 × 492.96
  4. Step 4: Simplify right side
    1,647.52x = 1,217,926.69
  5. Step 5: Solve for x
    x = 1,217,926.69/1,647.52
  6. Step 6: Final answer
    x = 739.25

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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.