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Finding the Fourth Proportional to 1,205.18, 1,807.63 and 511.95

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Solution

The fourth proportional to 1,205.18, 1,807.63 and 511.95 is: 767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.18 : 1,807.63 = 511.95 : x
  2. Step 2: Convert to fraction form
    1,205.18/1,807.63 = 511.95/x
  3. Step 3: Cross multiply
    1,205.18x = 1,807.63 × 511.95
  4. Step 4: Simplify right side
    1,205.18x = 925,416.18
  5. Step 5: Solve for x
    x = 925,416.18/1,205.18
  6. Step 6: Final answer
    x = 767.87

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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.