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Finding the Fourth Proportional to 1,044.77, 1,442.16 and 672.77

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Solution

The fourth proportional to 1,044.77, 1,442.16 and 672.77 is: 928.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.77 : 1,442.16 = 672.77 : x
  2. Step 2: Convert to fraction form
    1,044.77/1,442.16 = 672.77/x
  3. Step 3: Cross multiply
    1,044.77x = 1,442.16 × 672.77
  4. Step 4: Simplify right side
    1,044.77x = 970,241.98
  5. Step 5: Solve for x
    x = 970,241.98/1,044.77
  6. Step 6: Final answer
    x = 928.67

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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.