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Finding the Fourth Proportional to 1,060.84, 1,464.42 and 749.80

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Solution

The fourth proportional to 1,060.84, 1,464.42 and 749.80 is: 1,035.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.84 : 1,464.42 = 749.80 : x
  2. Step 2: Convert to fraction form
    1,060.84/1,464.42 = 749.80/x
  3. Step 3: Cross multiply
    1,060.84x = 1,464.42 × 749.80
  4. Step 4: Simplify right side
    1,060.84x = 1,098,022.12
  5. Step 5: Solve for x
    x = 1,098,022.12/1,060.84
  6. Step 6: Final answer
    x = 1,035.05

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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.