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Finding the Fourth Proportional to 1,959.78, 2,939.65 and 498.93

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Solution

The fourth proportional to 1,959.78, 2,939.65 and 498.93 is: 748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.78 : 2,939.65 = 498.93 : x
  2. Step 2: Convert to fraction form
    1,959.78/2,939.65 = 498.93/x
  3. Step 3: Cross multiply
    1,959.78x = 2,939.65 × 498.93
  4. Step 4: Simplify right side
    1,959.78x = 1,466,668.71
  5. Step 5: Solve for x
    x = 1,466,668.71/1,959.78
  6. Step 6: Final answer
    x = 748.39

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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.