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Finding the Fourth Proportional to 1,077.90, 1,616.54 and 297.72

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Solution

The fourth proportional to 1,077.90, 1,616.54 and 297.72 is: 446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.90 : 1,616.54 = 297.72 : x
  2. Step 2: Convert to fraction form
    1,077.90/1,616.54 = 297.72/x
  3. Step 3: Cross multiply
    1,077.90x = 1,616.54 × 297.72
  4. Step 4: Simplify right side
    1,077.90x = 481,277.03
  5. Step 5: Solve for x
    x = 481,277.03/1,077.90
  6. Step 6: Final answer
    x = 446.50

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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.