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Finding the Fourth Proportional to 1,191.58, 1,787.80 and 533.40

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Solution

The fourth proportional to 1,191.58, 1,787.80 and 533.40 is: 800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.58 : 1,787.80 = 533.40 : x
  2. Step 2: Convert to fraction form
    1,191.58/1,787.80 = 533.40/x
  3. Step 3: Cross multiply
    1,191.58x = 1,787.80 × 533.40
  4. Step 4: Simplify right side
    1,191.58x = 953,612.52
  5. Step 5: Solve for x
    x = 953,612.52/1,191.58
  6. Step 6: Final answer
    x = 800.29

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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.