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Finding the Fourth Proportional to 1,152.90, 1,729.35 and 786.78

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Solution

The fourth proportional to 1,152.90, 1,729.35 and 786.78 is: 1,180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.90 : 1,729.35 = 786.78 : x
  2. Step 2: Convert to fraction form
    1,152.90/1,729.35 = 786.78/x
  3. Step 3: Cross multiply
    1,152.90x = 1,729.35 × 786.78
  4. Step 4: Simplify right side
    1,152.90x = 1,360,617.99
  5. Step 5: Solve for x
    x = 1,360,617.99/1,152.90
  6. Step 6: Final answer
    x = 1,180.17

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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.