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Finding the Fourth Proportional to 1,509.83, 2,265.40 and 816.99

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Solution

The fourth proportional to 1,509.83, 2,265.40 and 816.99 is: 1,225.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.83 : 2,265.40 = 816.99 : x
  2. Step 2: Convert to fraction form
    1,509.83/2,265.40 = 816.99/x
  3. Step 3: Cross multiply
    1,509.83x = 2,265.40 × 816.99
  4. Step 4: Simplify right side
    1,509.83x = 1,850,793.73
  5. Step 5: Solve for x
    x = 1,850,793.73/1,509.83
  6. Step 6: Final answer
    x = 1,225.83

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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.