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Finding the Fourth Proportional to 976.60, 1,464.03 and 428.35

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Solution

The fourth proportional to 976.60, 1,464.03 and 428.35 is: 642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.60 : 1,464.03 = 428.35 : x
  2. Step 2: Convert to fraction form
    976.60/1,464.03 = 428.35/x
  3. Step 3: Cross multiply
    976.60x = 1,464.03 × 428.35
  4. Step 4: Simplify right side
    976.60x = 627,117.25
  5. Step 5: Solve for x
    x = 627,117.25/976.60
  6. Step 6: Final answer
    x = 642.14

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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.