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Finding the Fourth Proportional to 1,191.05, 1,787.08 and 497.86

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Solution

The fourth proportional to 1,191.05, 1,787.08 and 497.86 is: 746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.05 : 1,787.08 = 497.86 : x
  2. Step 2: Convert to fraction form
    1,191.05/1,787.08 = 497.86/x
  3. Step 3: Cross multiply
    1,191.05x = 1,787.08 × 497.86
  4. Step 4: Simplify right side
    1,191.05x = 889,706.71
  5. Step 5: Solve for x
    x = 889,706.71/1,191.05
  6. Step 6: Final answer
    x = 746.99

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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.