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Finding the Fourth Proportional to 1,378.84, 2,068.41 and 405.10

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Solution

The fourth proportional to 1,378.84, 2,068.41 and 405.10 is: 607.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.84 : 2,068.41 = 405.10 : x
  2. Step 2: Convert to fraction form
    1,378.84/2,068.41 = 405.10/x
  3. Step 3: Cross multiply
    1,378.84x = 2,068.41 × 405.10
  4. Step 4: Simplify right side
    1,378.84x = 837,912.89
  5. Step 5: Solve for x
    x = 837,912.89/1,378.84
  6. Step 6: Final answer
    x = 607.69

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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.