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Finding the Fourth Proportional to 1,094.84, 1,642.90 and 411.32

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Solution

The fourth proportional to 1,094.84, 1,642.90 and 411.32 is: 617.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.84 : 1,642.90 = 411.32 : x
  2. Step 2: Convert to fraction form
    1,094.84/1,642.90 = 411.32/x
  3. Step 3: Cross multiply
    1,094.84x = 1,642.90 × 411.32
  4. Step 4: Simplify right side
    1,094.84x = 675,757.63
  5. Step 5: Solve for x
    x = 675,757.63/1,094.84
  6. Step 6: Final answer
    x = 617.22

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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.