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Finding the Fourth Proportional to 993.08, 1,487.10 and 830.36

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Solution

The fourth proportional to 993.08, 1,487.10 and 830.36 is: 1,243.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.08 : 1,487.10 = 830.36 : x
  2. Step 2: Convert to fraction form
    993.08/1,487.10 = 830.36/x
  3. Step 3: Cross multiply
    993.08x = 1,487.10 × 830.36
  4. Step 4: Simplify right side
    993.08x = 1,234,828.36
  5. Step 5: Solve for x
    x = 1,234,828.36/993.08
  6. Step 6: Final answer
    x = 1,243.43

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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.