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Finding the Fourth Proportional to 894.98, 1,342.65 and 317.78

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Solution

The fourth proportional to 894.98, 1,342.65 and 317.78 is: 476.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.98 : 1,342.65 = 317.78 : x
  2. Step 2: Convert to fraction form
    894.98/1,342.65 = 317.78/x
  3. Step 3: Cross multiply
    894.98x = 1,342.65 × 317.78
  4. Step 4: Simplify right side
    894.98x = 426,667.32
  5. Step 5: Solve for x
    x = 426,667.32/894.98
  6. Step 6: Final answer
    x = 476.73

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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.