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Finding the Fourth Proportional to 1,077.71, 1,616.26 and 297.53

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Solution

The fourth proportional to 1,077.71, 1,616.26 and 297.53 is: 446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.71 : 1,616.26 = 297.53 : x
  2. Step 2: Convert to fraction form
    1,077.71/1,616.26 = 297.53/x
  3. Step 3: Cross multiply
    1,077.71x = 1,616.26 × 297.53
  4. Step 4: Simplify right side
    1,077.71x = 480,885.84
  5. Step 5: Solve for x
    x = 480,885.84/1,077.71
  6. Step 6: Final answer
    x = 446.21

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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.