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Finding the Fourth Proportional to 989.56, 1,485.24 and 527.74

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Solution

The fourth proportional to 989.56, 1,485.24 and 527.74 is: 792.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.56 : 1,485.24 = 527.74 : x
  2. Step 2: Convert to fraction form
    989.56/1,485.24 = 527.74/x
  3. Step 3: Cross multiply
    989.56x = 1,485.24 × 527.74
  4. Step 4: Simplify right side
    989.56x = 783,813.13
  5. Step 5: Solve for x
    x = 783,813.13/989.56
  6. Step 6: Final answer
    x = 792.08

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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.