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Finding the Fourth Proportional to 1,280.58, 1,767.57 and 749.91

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Solution

The fourth proportional to 1,280.58, 1,767.57 and 749.91 is: 1,035.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.58 : 1,767.57 = 749.91 : x
  2. Step 2: Convert to fraction form
    1,280.58/1,767.57 = 749.91/x
  3. Step 3: Cross multiply
    1,280.58x = 1,767.57 × 749.91
  4. Step 4: Simplify right side
    1,280.58x = 1,325,518.42
  5. Step 5: Solve for x
    x = 1,325,518.42/1,280.58
  6. Step 6: Final answer
    x = 1,035.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.