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Finding the Fourth Proportional to 1,162.61, 1,742.84 and 649.25

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Solution

The fourth proportional to 1,162.61, 1,742.84 and 649.25 is: 973.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.61 : 1,742.84 = 649.25 : x
  2. Step 2: Convert to fraction form
    1,162.61/1,742.84 = 649.25/x
  3. Step 3: Cross multiply
    1,162.61x = 1,742.84 × 649.25
  4. Step 4: Simplify right side
    1,162.61x = 1,131,535.62
  5. Step 5: Solve for x
    x = 1,131,535.62/1,162.61
  6. Step 6: Final answer
    x = 973.27

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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.