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Finding the Fourth Proportional to 1,151.34, 1,727.49 and 420.99

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Solution

The fourth proportional to 1,151.34, 1,727.49 and 420.99 is: 631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.34 : 1,727.49 = 420.99 : x
  2. Step 2: Convert to fraction form
    1,151.34/1,727.49 = 420.99/x
  3. Step 3: Cross multiply
    1,151.34x = 1,727.49 × 420.99
  4. Step 4: Simplify right side
    1,151.34x = 727,256.02
  5. Step 5: Solve for x
    x = 727,256.02/1,151.34
  6. Step 6: Final answer
    x = 631.66

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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.