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Finding the Fourth Proportional to 895.80, 1,343.48 and 318.54

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Solution

The fourth proportional to 895.80, 1,343.48 and 318.54 is: 477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.80 : 1,343.48 = 318.54 : x
  2. Step 2: Convert to fraction form
    895.80/1,343.48 = 318.54/x
  3. Step 3: Cross multiply
    895.80x = 1,343.48 × 318.54
  4. Step 4: Simplify right side
    895.80x = 427,950.53
  5. Step 5: Solve for x
    x = 427,950.53/895.80
  6. Step 6: Final answer
    x = 477.73

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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.