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Finding the Fourth Proportional to 895.94, 1,344.82 and 409.33

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Solution

The fourth proportional to 895.94, 1,344.82 and 409.33 is: 614.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.94 : 1,344.82 = 409.33 : x
  2. Step 2: Convert to fraction form
    895.94/1,344.82 = 409.33/x
  3. Step 3: Cross multiply
    895.94x = 1,344.82 × 409.33
  4. Step 4: Simplify right side
    895.94x = 550,475.17
  5. Step 5: Solve for x
    x = 550,475.17/895.94
  6. Step 6: Final answer
    x = 614.41

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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.