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Finding the Fourth Proportional to 894.90, 1,234.77 and 673.35

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Solution

The fourth proportional to 894.90, 1,234.77 and 673.35 is: 929.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.90 : 1,234.77 = 673.35 : x
  2. Step 2: Convert to fraction form
    894.90/1,234.77 = 673.35/x
  3. Step 3: Cross multiply
    894.90x = 1,234.77 × 673.35
  4. Step 4: Simplify right side
    894.90x = 831,432.38
  5. Step 5: Solve for x
    x = 831,432.38/894.90
  6. Step 6: Final answer
    x = 929.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.