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Finding the Fourth Proportional to 1,004.23, 1,498.87 and 979.63

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Solution

The fourth proportional to 1,004.23, 1,498.87 and 979.63 is: 1,462.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.23 : 1,498.87 = 979.63 : x
  2. Step 2: Convert to fraction form
    1,004.23/1,498.87 = 979.63/x
  3. Step 3: Cross multiply
    1,004.23x = 1,498.87 × 979.63
  4. Step 4: Simplify right side
    1,004.23x = 1,468,335.50
  5. Step 5: Solve for x
    x = 1,468,335.50/1,004.23
  6. Step 6: Final answer
    x = 1,462.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.