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Finding the Fourth Proportional to 1,364.19, 2,046.87 and 633.93

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Solution

The fourth proportional to 1,364.19, 2,046.87 and 633.93 is: 951.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.19 : 2,046.87 = 633.93 : x
  2. Step 2: Convert to fraction form
    1,364.19/2,046.87 = 633.93/x
  3. Step 3: Cross multiply
    1,364.19x = 2,046.87 × 633.93
  4. Step 4: Simplify right side
    1,364.19x = 1,297,572.30
  5. Step 5: Solve for x
    x = 1,297,572.30/1,364.19
  6. Step 6: Final answer
    x = 951.17

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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.