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Finding the Fourth Proportional to 895.96, 1,343.12 and 506.18

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Solution

The fourth proportional to 895.96, 1,343.12 and 506.18 is: 758.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.96 : 1,343.12 = 506.18 : x
  2. Step 2: Convert to fraction form
    895.96/1,343.12 = 506.18/x
  3. Step 3: Cross multiply
    895.96x = 1,343.12 × 506.18
  4. Step 4: Simplify right side
    895.96x = 679,860.48
  5. Step 5: Solve for x
    x = 679,860.48/895.96
  6. Step 6: Final answer
    x = 758.81

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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.