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Finding the Fourth Proportional to 1,443.49, 2,166.51 and 750.63

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Solution

The fourth proportional to 1,443.49, 2,166.51 and 750.63 is: 1,126.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.49 : 2,166.51 = 750.63 : x
  2. Step 2: Convert to fraction form
    1,443.49/2,166.51 = 750.63/x
  3. Step 3: Cross multiply
    1,443.49x = 2,166.51 × 750.63
  4. Step 4: Simplify right side
    1,443.49x = 1,626,247.40
  5. Step 5: Solve for x
    x = 1,626,247.40/1,443.49
  6. Step 6: Final answer
    x = 1,126.61

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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.