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Finding the Fourth Proportional to 1,288.66, 1,778.36 and 757.40

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Solution

The fourth proportional to 1,288.66, 1,778.36 and 757.40 is: 1,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.66 : 1,778.36 = 757.40 : x
  2. Step 2: Convert to fraction form
    1,288.66/1,778.36 = 757.40/x
  3. Step 3: Cross multiply
    1,288.66x = 1,778.36 × 757.40
  4. Step 4: Simplify right side
    1,288.66x = 1,346,929.86
  5. Step 5: Solve for x
    x = 1,346,929.86/1,288.66
  6. Step 6: Final answer
    x = 1,045.22

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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.