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Finding the Fourth Proportional to 1,192.56, 1,787.30 and 533.95

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Solution

The fourth proportional to 1,192.56, 1,787.30 and 533.95 is: 800.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.56 : 1,787.30 = 533.95 : x
  2. Step 2: Convert to fraction form
    1,192.56/1,787.30 = 533.95/x
  3. Step 3: Cross multiply
    1,192.56x = 1,787.30 × 533.95
  4. Step 4: Simplify right side
    1,192.56x = 954,328.40
  5. Step 5: Solve for x
    x = 954,328.40/1,192.56
  6. Step 6: Final answer
    x = 800.24

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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.