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Finding the Fourth Proportional to 1,181.03, 1,771.08 and 400.90

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Solution

The fourth proportional to 1,181.03, 1,771.08 and 400.90 is: 601.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.03 : 1,771.08 = 400.90 : x
  2. Step 2: Convert to fraction form
    1,181.03/1,771.08 = 400.90/x
  3. Step 3: Cross multiply
    1,181.03x = 1,771.08 × 400.90
  4. Step 4: Simplify right side
    1,181.03x = 710,017.12
  5. Step 5: Solve for x
    x = 710,017.12/1,181.03
  6. Step 6: Final answer
    x = 601.19

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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.