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Finding the Fourth Proportional to 989.54, 1,485.12 and 527.84

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Solution

The fourth proportional to 989.54, 1,485.12 and 527.84 is: 792.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.54 : 1,485.12 = 527.84 : x
  2. Step 2: Convert to fraction form
    989.54/1,485.12 = 527.84/x
  3. Step 3: Cross multiply
    989.54x = 1,485.12 × 527.84
  4. Step 4: Simplify right side
    989.54x = 783,905.74
  5. Step 5: Solve for x
    x = 783,905.74/989.54
  6. Step 6: Final answer
    x = 792.19

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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.