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Finding the Fourth Proportional to 1,131.23, 1,697.40 and 400.86

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Solution

The fourth proportional to 1,131.23, 1,697.40 and 400.86 is: 601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.23 : 1,697.40 = 400.86 : x
  2. Step 2: Convert to fraction form
    1,131.23/1,697.40 = 400.86/x
  3. Step 3: Cross multiply
    1,131.23x = 1,697.40 × 400.86
  4. Step 4: Simplify right side
    1,131.23x = 680,419.76
  5. Step 5: Solve for x
    x = 680,419.76/1,131.23
  6. Step 6: Final answer
    x = 601.49

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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.