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Finding the Fourth Proportional to 1,151.88, 1,729.14 and 946.80

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Solution

The fourth proportional to 1,151.88, 1,729.14 and 946.80 is: 1,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.88 : 1,729.14 = 946.80 : x
  2. Step 2: Convert to fraction form
    1,151.88/1,729.14 = 946.80/x
  3. Step 3: Cross multiply
    1,151.88x = 1,729.14 × 946.80
  4. Step 4: Simplify right side
    1,151.88x = 1,637,149.75
  5. Step 5: Solve for x
    x = 1,637,149.75/1,151.88
  6. Step 6: Final answer
    x = 1,421.28

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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.