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Finding the Fourth Proportional to 1,176.75, 1,767.74 and 766.53

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Solution

The fourth proportional to 1,176.75, 1,767.74 and 766.53 is: 1,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.75 : 1,767.74 = 766.53 : x
  2. Step 2: Convert to fraction form
    1,176.75/1,767.74 = 766.53/x
  3. Step 3: Cross multiply
    1,176.75x = 1,767.74 × 766.53
  4. Step 4: Simplify right side
    1,176.75x = 1,355,021.91
  5. Step 5: Solve for x
    x = 1,355,021.91/1,176.75
  6. Step 6: Final answer
    x = 1,151.50

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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.