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Finding the Fourth Proportional to 895.44, 1,340.82 and 461.64

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Solution

The fourth proportional to 895.44, 1,340.82 and 461.64 is: 691.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.44 : 1,340.82 = 461.64 : x
  2. Step 2: Convert to fraction form
    895.44/1,340.82 = 461.64/x
  3. Step 3: Cross multiply
    895.44x = 1,340.82 × 461.64
  4. Step 4: Simplify right side
    895.44x = 618,976.14
  5. Step 5: Solve for x
    x = 618,976.14/895.44
  6. Step 6: Final answer
    x = 691.25

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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.