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Finding the Fourth Proportional to 1,267.79, 1,749.16 and 708.18

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Solution

The fourth proportional to 1,267.79, 1,749.16 and 708.18 is: 977.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.79 : 1,749.16 = 708.18 : x
  2. Step 2: Convert to fraction form
    1,267.79/1,749.16 = 708.18/x
  3. Step 3: Cross multiply
    1,267.79x = 1,749.16 × 708.18
  4. Step 4: Simplify right side
    1,267.79x = 1,238,716.59
  5. Step 5: Solve for x
    x = 1,238,716.59/1,267.79
  6. Step 6: Final answer
    x = 977.07

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Why These Related Problems?

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