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Finding the Fourth Proportional to 896.69, 1,345.03 and 319.16

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Solution

The fourth proportional to 896.69, 1,345.03 and 319.16 is: 478.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.69 : 1,345.03 = 319.16 : x
  2. Step 2: Convert to fraction form
    896.69/1,345.03 = 319.16/x
  3. Step 3: Cross multiply
    896.69x = 1,345.03 × 319.16
  4. Step 4: Simplify right side
    896.69x = 429,274.73
  5. Step 5: Solve for x
    x = 429,274.73/896.69
  6. Step 6: Final answer
    x = 478.73

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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.