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Finding the Fourth Proportional to 749.88, 1,027.08 and 705.60

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Solution

The fourth proportional to 749.88, 1,027.08 and 705.60 is: 966.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.88 : 1,027.08 = 705.60 : x
  2. Step 2: Convert to fraction form
    749.88/1,027.08 = 705.60/x
  3. Step 3: Cross multiply
    749.88x = 1,027.08 × 705.60
  4. Step 4: Simplify right side
    749.88x = 724,707.65
  5. Step 5: Solve for x
    x = 724,707.65/749.88
  6. Step 6: Final answer
    x = 966.43

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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.