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Finding the Fourth Proportional to 1,009.53, 1,513.44 and 663.30

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Solution

The fourth proportional to 1,009.53, 1,513.44 and 663.30 is: 994.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.53 : 1,513.44 = 663.30 : x
  2. Step 2: Convert to fraction form
    1,009.53/1,513.44 = 663.30/x
  3. Step 3: Cross multiply
    1,009.53x = 1,513.44 × 663.30
  4. Step 4: Simplify right side
    1,009.53x = 1,003,864.75
  5. Step 5: Solve for x
    x = 1,003,864.75/1,009.53
  6. Step 6: Final answer
    x = 994.39

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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.