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Finding the Fourth Proportional to 1,433.04, 1,977.05 and 873.14

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Solution

The fourth proportional to 1,433.04, 1,977.05 and 873.14 is: 1,204.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.04 : 1,977.05 = 873.14 : x
  2. Step 2: Convert to fraction form
    1,433.04/1,977.05 = 873.14/x
  3. Step 3: Cross multiply
    1,433.04x = 1,977.05 × 873.14
  4. Step 4: Simplify right side
    1,433.04x = 1,726,227.19
  5. Step 5: Solve for x
    x = 1,726,227.19/1,433.04
  6. Step 6: Final answer
    x = 1,204.59

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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.