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Finding the Fourth Proportional to 1,205.15, 1,807.92 and 383.18

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Solution

The fourth proportional to 1,205.15, 1,807.92 and 383.18 is: 574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.15 : 1,807.92 = 383.18 : x
  2. Step 2: Convert to fraction form
    1,205.15/1,807.92 = 383.18/x
  3. Step 3: Cross multiply
    1,205.15x = 1,807.92 × 383.18
  4. Step 4: Simplify right side
    1,205.15x = 692,749.75
  5. Step 5: Solve for x
    x = 692,749.75/1,205.15
  6. Step 6: Final answer
    x = 574.83

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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.