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Finding the Fourth Proportional to 1,237.53, 1,857.84 and 769.69

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Solution

The fourth proportional to 1,237.53, 1,857.84 and 769.69 is: 1,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.53 : 1,857.84 = 769.69 : x
  2. Step 2: Convert to fraction form
    1,237.53/1,857.84 = 769.69/x
  3. Step 3: Cross multiply
    1,237.53x = 1,857.84 × 769.69
  4. Step 4: Simplify right side
    1,237.53x = 1,429,949.86
  5. Step 5: Solve for x
    x = 1,429,949.86/1,237.53
  6. Step 6: Final answer
    x = 1,155.49

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Double scale
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1.5x scale

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.