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Finding the Fourth Proportional to 1,011.24, 1,395.96 and 762.63

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Solution

The fourth proportional to 1,011.24, 1,395.96 and 762.63 is: 1,052.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.24 : 1,395.96 = 762.63 : x
  2. Step 2: Convert to fraction form
    1,011.24/1,395.96 = 762.63/x
  3. Step 3: Cross multiply
    1,011.24x = 1,395.96 × 762.63
  4. Step 4: Simplify right side
    1,011.24x = 1,064,600.97
  5. Step 5: Solve for x
    x = 1,064,600.97/1,011.24
  6. Step 6: Final answer
    x = 1,052.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.