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Finding the Fourth Proportional to 895.77, 1,344.26 and 463.23

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Solution

The fourth proportional to 895.77, 1,344.26 and 463.23 is: 695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.77 : 1,344.26 = 463.23 : x
  2. Step 2: Convert to fraction form
    895.77/1,344.26 = 463.23/x
  3. Step 3: Cross multiply
    895.77x = 1,344.26 × 463.23
  4. Step 4: Simplify right side
    895.77x = 622,702.72
  5. Step 5: Solve for x
    x = 622,702.72/895.77
  6. Step 6: Final answer
    x = 695.16

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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.