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Finding the Fourth Proportional to 780.24, 1,171.48 and 766.40

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Solution

The fourth proportional to 780.24, 1,171.48 and 766.40 is: 1,150.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.24 : 1,171.48 = 766.40 : x
  2. Step 2: Convert to fraction form
    780.24/1,171.48 = 766.40/x
  3. Step 3: Cross multiply
    780.24x = 1,171.48 × 766.40
  4. Step 4: Simplify right side
    780.24x = 897,822.27
  5. Step 5: Solve for x
    x = 897,822.27/780.24
  6. Step 6: Final answer
    x = 1,150.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.