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Finding the Fourth Proportional to 1,668.92, 2,503.20 and 498.80

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Solution

The fourth proportional to 1,668.92, 2,503.20 and 498.80 is: 748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.92 : 2,503.20 = 498.80 : x
  2. Step 2: Convert to fraction form
    1,668.92/2,503.20 = 498.80/x
  3. Step 3: Cross multiply
    1,668.92x = 2,503.20 × 498.80
  4. Step 4: Simplify right side
    1,668.92x = 1,248,596.16
  5. Step 5: Solve for x
    x = 1,248,596.16/1,668.92
  6. Step 6: Final answer
    x = 748.15

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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.