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Finding the Fourth Proportional to 761.04, 1,052.28 and 726

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Solution

The fourth proportional to 761.04, 1,052.28 and 726 is: 1,003.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.04 : 1,052.28 = 726 : x
  2. Step 2: Convert to fraction form
    761.04/1,052.28 = 726/x
  3. Step 3: Cross multiply
    761.04x = 1,052.28 × 726
  4. Step 4: Simplify right side
    761.04x = 763,955.28
  5. Step 5: Solve for x
    x = 763,955.28/761.04
  6. Step 6: Final answer
    x = 1,003.83

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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.