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Finding the Fourth Proportional to 976.90, 1,464.64 and 489.60

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Solution

The fourth proportional to 976.90, 1,464.64 and 489.60 is: 734.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.90 : 1,464.64 = 489.60 : x
  2. Step 2: Convert to fraction form
    976.90/1,464.64 = 489.60/x
  3. Step 3: Cross multiply
    976.90x = 1,464.64 × 489.60
  4. Step 4: Simplify right side
    976.90x = 717,087.74
  5. Step 5: Solve for x
    x = 717,087.74/976.90
  6. Step 6: Final answer
    x = 734.04

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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.