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Finding the Fourth Proportional to 758.84, 1,040.42 and 749.50

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Solution

The fourth proportional to 758.84, 1,040.42 and 749.50 is: 1,027.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.84 : 1,040.42 = 749.50 : x
  2. Step 2: Convert to fraction form
    758.84/1,040.42 = 749.50/x
  3. Step 3: Cross multiply
    758.84x = 1,040.42 × 749.50
  4. Step 4: Simplify right side
    758.84x = 779,797.81
  5. Step 5: Solve for x
    x = 779,797.81/758.84
  6. Step 6: Final answer
    x = 1,027.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.