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Finding the Fourth Proportional to 1,744.65, 2,616.98 and 649.13

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Solution

The fourth proportional to 1,744.65, 2,616.98 and 649.13 is: 973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.65 : 2,616.98 = 649.13 : x
  2. Step 2: Convert to fraction form
    1,744.65/2,616.98 = 649.13/x
  3. Step 3: Cross multiply
    1,744.65x = 2,616.98 × 649.13
  4. Step 4: Simplify right side
    1,744.65x = 1,698,743.90
  5. Step 5: Solve for x
    x = 1,698,743.90/1,744.65
  6. Step 6: Final answer
    x = 973.69

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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.