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Finding the Fourth Proportional to 894.06, 1,233.71 and 521.01

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Solution

The fourth proportional to 894.06, 1,233.71 and 521.01 is: 718.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.06 : 1,233.71 = 521.01 : x
  2. Step 2: Convert to fraction form
    894.06/1,233.71 = 521.01/x
  3. Step 3: Cross multiply
    894.06x = 1,233.71 × 521.01
  4. Step 4: Simplify right side
    894.06x = 642,775.25
  5. Step 5: Solve for x
    x = 642,775.25/894.06
  6. Step 6: Final answer
    x = 718.94

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