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Finding the Fourth Proportional to 985.33, 1,476.66 and 546.56

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Solution

The fourth proportional to 985.33, 1,476.66 and 546.56 is: 819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.33 : 1,476.66 = 546.56 : x
  2. Step 2: Convert to fraction form
    985.33/1,476.66 = 546.56/x
  3. Step 3: Cross multiply
    985.33x = 1,476.66 × 546.56
  4. Step 4: Simplify right side
    985.33x = 807,083.29
  5. Step 5: Solve for x
    x = 807,083.29/985.33
  6. Step 6: Final answer
    x = 819.10

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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.