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Finding the Fourth Proportional to 895.17, 1,342.21 and 401.49

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Solution

The fourth proportional to 895.17, 1,342.21 and 401.49 is: 601.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.17 : 1,342.21 = 401.49 : x
  2. Step 2: Convert to fraction form
    895.17/1,342.21 = 401.49/x
  3. Step 3: Cross multiply
    895.17x = 1,342.21 × 401.49
  4. Step 4: Simplify right side
    895.17x = 538,883.89
  5. Step 5: Solve for x
    x = 538,883.89/895.17
  6. Step 6: Final answer
    x = 601.99

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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.