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Finding the Fourth Proportional to 1,267.45, 1,748.64 and 707.79

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Solution

The fourth proportional to 1,267.45, 1,748.64 and 707.79 is: 976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.45 : 1,748.64 = 707.79 : x
  2. Step 2: Convert to fraction form
    1,267.45/1,748.64 = 707.79/x
  3. Step 3: Cross multiply
    1,267.45x = 1,748.64 × 707.79
  4. Step 4: Simplify right side
    1,267.45x = 1,237,665.30
  5. Step 5: Solve for x
    x = 1,237,665.30/1,267.45
  6. Step 6: Final answer
    x = 976.50

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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.