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Finding the Fourth Proportional to 1,191.57, 1,787.49 and 533.46

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Solution

The fourth proportional to 1,191.57, 1,787.49 and 533.46 is: 800.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.57 : 1,787.49 = 533.46 : x
  2. Step 2: Convert to fraction form
    1,191.57/1,787.49 = 533.46/x
  3. Step 3: Cross multiply
    1,191.57x = 1,787.49 × 533.46
  4. Step 4: Simplify right side
    1,191.57x = 953,554.42
  5. Step 5: Solve for x
    x = 953,554.42/1,191.57
  6. Step 6: Final answer
    x = 800.25

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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.