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Finding the Fourth Proportional to 1,433.12, 1,977.08 and 873.50

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Solution

The fourth proportional to 1,433.12, 1,977.08 and 873.50 is: 1,205.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.12 : 1,977.08 = 873.50 : x
  2. Step 2: Convert to fraction form
    1,433.12/1,977.08 = 873.50/x
  3. Step 3: Cross multiply
    1,433.12x = 1,977.08 × 873.50
  4. Step 4: Simplify right side
    1,433.12x = 1,726,965.13
  5. Step 5: Solve for x
    x = 1,726,965.13/1,433.12
  6. Step 6: Final answer
    x = 1,205.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.