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Finding the Fourth Proportional to 1,191.58, 1,787.40 and 325.89

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Solution

The fourth proportional to 1,191.58, 1,787.40 and 325.89 is: 488.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.58 : 1,787.40 = 325.89 : x
  2. Step 2: Convert to fraction form
    1,191.58/1,787.40 = 325.89/x
  3. Step 3: Cross multiply
    1,191.58x = 1,787.40 × 325.89
  4. Step 4: Simplify right side
    1,191.58x = 582,495.79
  5. Step 5: Solve for x
    x = 582,495.79/1,191.58
  6. Step 6: Final answer
    x = 488.84

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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.