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Finding the Fourth Proportional to 1,648.84, 2,473.37 and 494.59

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Solution

The fourth proportional to 1,648.84, 2,473.37 and 494.59 is: 741.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.84 : 2,473.37 = 494.59 : x
  2. Step 2: Convert to fraction form
    1,648.84/2,473.37 = 494.59/x
  3. Step 3: Cross multiply
    1,648.84x = 2,473.37 × 494.59
  4. Step 4: Simplify right side
    1,648.84x = 1,223,304.07
  5. Step 5: Solve for x
    x = 1,223,304.07/1,648.84
  6. Step 6: Final answer
    x = 741.92

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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.