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Finding the Fourth Proportional to 1,034.66, 1,550.25 and 740.67

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Solution

The fourth proportional to 1,034.66, 1,550.25 and 740.67 is: 1,109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.66 : 1,550.25 = 740.67 : x
  2. Step 2: Convert to fraction form
    1,034.66/1,550.25 = 740.67/x
  3. Step 3: Cross multiply
    1,034.66x = 1,550.25 × 740.67
  4. Step 4: Simplify right side
    1,034.66x = 1,148,223.67
  5. Step 5: Solve for x
    x = 1,148,223.67/1,034.66
  6. Step 6: Final answer
    x = 1,109.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.