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Finding the Fourth Proportional to 985.83, 1,478.87 and 546.74

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Solution

The fourth proportional to 985.83, 1,478.87 and 546.74 is: 820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.83 : 1,478.87 = 546.74 : x
  2. Step 2: Convert to fraction form
    985.83/1,478.87 = 546.74/x
  3. Step 3: Cross multiply
    985.83x = 1,478.87 × 546.74
  4. Step 4: Simplify right side
    985.83x = 808,557.38
  5. Step 5: Solve for x
    x = 808,557.38/985.83
  6. Step 6: Final answer
    x = 820.18

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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.