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Finding the Fourth Proportional to 1,147.77, 1,722.06 and 498.96

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Solution

The fourth proportional to 1,147.77, 1,722.06 and 498.96 is: 748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.77 : 1,722.06 = 498.96 : x
  2. Step 2: Convert to fraction form
    1,147.77/1,722.06 = 498.96/x
  3. Step 3: Cross multiply
    1,147.77x = 1,722.06 × 498.96
  4. Step 4: Simplify right side
    1,147.77x = 859,239.06
  5. Step 5: Solve for x
    x = 859,239.06/1,147.77
  6. Step 6: Final answer
    x = 748.62

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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.