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Finding the Fourth Proportional to 1,267.28, 1,748.85 and 707.74

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Solution

The fourth proportional to 1,267.28, 1,748.85 and 707.74 is: 976.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.28 : 1,748.85 = 707.74 : x
  2. Step 2: Convert to fraction form
    1,267.28/1,748.85 = 707.74/x
  3. Step 3: Cross multiply
    1,267.28x = 1,748.85 × 707.74
  4. Step 4: Simplify right side
    1,267.28x = 1,237,731.10
  5. Step 5: Solve for x
    x = 1,237,731.10/1,267.28
  6. Step 6: Final answer
    x = 976.69

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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.