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Finding the Fourth Proportional to 1,003.78, 1,506.12 and 593.72

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Solution

The fourth proportional to 1,003.78, 1,506.12 and 593.72 is: 890.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.78 : 1,506.12 = 593.72 : x
  2. Step 2: Convert to fraction form
    1,003.78/1,506.12 = 593.72/x
  3. Step 3: Cross multiply
    1,003.78x = 1,506.12 × 593.72
  4. Step 4: Simplify right side
    1,003.78x = 894,207.15
  5. Step 5: Solve for x
    x = 894,207.15/1,003.78
  6. Step 6: Final answer
    x = 890.84

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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.