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Finding the Fourth Proportional to 1,214.65, 1,822.65 and 752.68

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Solution

The fourth proportional to 1,214.65, 1,822.65 and 752.68 is: 1,129.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.65 : 1,822.65 = 752.68 : x
  2. Step 2: Convert to fraction form
    1,214.65/1,822.65 = 752.68/x
  3. Step 3: Cross multiply
    1,214.65x = 1,822.65 × 752.68
  4. Step 4: Simplify right side
    1,214.65x = 1,371,872.20
  5. Step 5: Solve for x
    x = 1,371,872.20/1,214.65
  6. Step 6: Final answer
    x = 1,129.44

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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.