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Finding the Fourth Proportional to 749.42, 1,032.10 and 733.28

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Solution

The fourth proportional to 749.42, 1,032.10 and 733.28 is: 1,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.42 : 1,032.10 = 733.28 : x
  2. Step 2: Convert to fraction form
    749.42/1,032.10 = 733.28/x
  3. Step 3: Cross multiply
    749.42x = 1,032.10 × 733.28
  4. Step 4: Simplify right side
    749.42x = 756,818.29
  5. Step 5: Solve for x
    x = 756,818.29/749.42
  6. Step 6: Final answer
    x = 1,009.87

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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.