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Finding the Fourth Proportional to 753.17, 1,040.24 and 665.69

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Solution

The fourth proportional to 753.17, 1,040.24 and 665.69 is: 919.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.17 : 1,040.24 = 665.69 : x
  2. Step 2: Convert to fraction form
    753.17/1,040.24 = 665.69/x
  3. Step 3: Cross multiply
    753.17x = 1,040.24 × 665.69
  4. Step 4: Simplify right side
    753.17x = 692,473.83
  5. Step 5: Solve for x
    x = 692,473.83/753.17
  6. Step 6: Final answer
    x = 919.42

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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.