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Finding the Fourth Proportional to 1,665.40, 2,498.37 and 511.15

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Solution

The fourth proportional to 1,665.40, 2,498.37 and 511.15 is: 766.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.40 : 2,498.37 = 511.15 : x
  2. Step 2: Convert to fraction form
    1,665.40/2,498.37 = 511.15/x
  3. Step 3: Cross multiply
    1,665.40x = 2,498.37 × 511.15
  4. Step 4: Simplify right side
    1,665.40x = 1,277,033.66
  5. Step 5: Solve for x
    x = 1,277,033.66/1,665.40
  6. Step 6: Final answer
    x = 766.80

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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.