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Finding the Fourth Proportional to 1,205.83, 1,808.13 and 556

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Solution

The fourth proportional to 1,205.83, 1,808.13 and 556 is: 833.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.83 : 1,808.13 = 556 : x
  2. Step 2: Convert to fraction form
    1,205.83/1,808.13 = 556/x
  3. Step 3: Cross multiply
    1,205.83x = 1,808.13 × 556
  4. Step 4: Simplify right side
    1,205.83x = 1,005,320.28
  5. Step 5: Solve for x
    x = 1,005,320.28/1,205.83
  6. Step 6: Final answer
    x = 833.72

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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.