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Finding the Fourth Proportional to 894.06, 1,233.68 and 521.14

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Solution

The fourth proportional to 894.06, 1,233.68 and 521.14 is: 719.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.06 : 1,233.68 = 521.14 : x
  2. Step 2: Convert to fraction form
    894.06/1,233.68 = 521.14/x
  3. Step 3: Cross multiply
    894.06x = 1,233.68 × 521.14
  4. Step 4: Simplify right side
    894.06x = 642,920.00
  5. Step 5: Solve for x
    x = 642,920.00/894.06
  6. Step 6: Final answer
    x = 719.10

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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.