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Finding the Fourth Proportional to 1,665.23, 2,498.10 and 554.90

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Solution

The fourth proportional to 1,665.23, 2,498.10 and 554.90 is: 832.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.23 : 2,498.10 = 554.90 : x
  2. Step 2: Convert to fraction form
    1,665.23/2,498.10 = 554.90/x
  3. Step 3: Cross multiply
    1,665.23x = 2,498.10 × 554.90
  4. Step 4: Simplify right side
    1,665.23x = 1,386,195.69
  5. Step 5: Solve for x
    x = 1,386,195.69/1,665.23
  6. Step 6: Final answer
    x = 832.43

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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.