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Finding the Fourth Proportional to 1,648.72, 2,473.08 and 494.64

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Solution

The fourth proportional to 1,648.72, 2,473.08 and 494.64 is: 741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.72 : 2,473.08 = 494.64 : x
  2. Step 2: Convert to fraction form
    1,648.72/2,473.08 = 494.64/x
  3. Step 3: Cross multiply
    1,648.72x = 2,473.08 × 494.64
  4. Step 4: Simplify right side
    1,648.72x = 1,223,284.29
  5. Step 5: Solve for x
    x = 1,223,284.29/1,648.72
  6. Step 6: Final answer
    x = 741.96

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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.