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Finding the Fourth Proportional to 1,187.62, 1,780.47 and 446.81

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Solution

The fourth proportional to 1,187.62, 1,780.47 and 446.81 is: 669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.62 : 1,780.47 = 446.81 : x
  2. Step 2: Convert to fraction form
    1,187.62/1,780.47 = 446.81/x
  3. Step 3: Cross multiply
    1,187.62x = 1,780.47 × 446.81
  4. Step 4: Simplify right side
    1,187.62x = 795,522.90
  5. Step 5: Solve for x
    x = 795,522.90/1,187.62
  6. Step 6: Final answer
    x = 669.85

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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.