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Finding the Fourth Proportional to 1,280.98, 1,768.05 and 750.12

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Solution

The fourth proportional to 1,280.98, 1,768.05 and 750.12 is: 1,035.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.98 : 1,768.05 = 750.12 : x
  2. Step 2: Convert to fraction form
    1,280.98/1,768.05 = 750.12/x
  3. Step 3: Cross multiply
    1,280.98x = 1,768.05 × 750.12
  4. Step 4: Simplify right side
    1,280.98x = 1,326,249.67
  5. Step 5: Solve for x
    x = 1,326,249.67/1,280.98
  6. Step 6: Final answer
    x = 1,035.34

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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.