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Finding the Fourth Proportional to 1,153.65, 1,729.79 and 537.49

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Solution

The fourth proportional to 1,153.65, 1,729.79 and 537.49 is: 805.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.65 : 1,729.79 = 537.49 : x
  2. Step 2: Convert to fraction form
    1,153.65/1,729.79 = 537.49/x
  3. Step 3: Cross multiply
    1,153.65x = 1,729.79 × 537.49
  4. Step 4: Simplify right side
    1,153.65x = 929,744.30
  5. Step 5: Solve for x
    x = 929,744.30/1,153.65
  6. Step 6: Final answer
    x = 805.92

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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.