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Finding the Fourth Proportional to 1,172.24, 1,759.24 and 587.80

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Solution

The fourth proportional to 1,172.24, 1,759.24 and 587.80 is: 882.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.24 : 1,759.24 = 587.80 : x
  2. Step 2: Convert to fraction form
    1,172.24/1,759.24 = 587.80/x
  3. Step 3: Cross multiply
    1,172.24x = 1,759.24 × 587.80
  4. Step 4: Simplify right side
    1,172.24x = 1,034,081.27
  5. Step 5: Solve for x
    x = 1,034,081.27/1,172.24
  6. Step 6: Final answer
    x = 882.14

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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.