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Finding the Fourth Proportional to 1,165.49, 1,745.96 and 616.92

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Solution

The fourth proportional to 1,165.49, 1,745.96 and 616.92 is: 924.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.49 : 1,745.96 = 616.92 : x
  2. Step 2: Convert to fraction form
    1,165.49/1,745.96 = 616.92/x
  3. Step 3: Cross multiply
    1,165.49x = 1,745.96 × 616.92
  4. Step 4: Simplify right side
    1,165.49x = 1,077,108.01
  5. Step 5: Solve for x
    x = 1,077,108.01/1,165.49
  6. Step 6: Final answer
    x = 924.17

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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.