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Finding the Fourth Proportional to 1,165.50, 1,747.53 and 549.33

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Solution

The fourth proportional to 1,165.50, 1,747.53 and 549.33 is: 823.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.50 : 1,747.53 = 549.33 : x
  2. Step 2: Convert to fraction form
    1,165.50/1,747.53 = 549.33/x
  3. Step 3: Cross multiply
    1,165.50x = 1,747.53 × 549.33
  4. Step 4: Simplify right side
    1,165.50x = 959,970.65
  5. Step 5: Solve for x
    x = 959,970.65/1,165.50
  6. Step 6: Final answer
    x = 823.66

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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.