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Finding the Fourth Proportional to 753.01, 1,129.50 and 266.05

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Solution

The fourth proportional to 753.01, 1,129.50 and 266.05 is: 399.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.01 : 1,129.50 = 266.05 : x
  2. Step 2: Convert to fraction form
    753.01/1,129.50 = 266.05/x
  3. Step 3: Cross multiply
    753.01x = 1,129.50 × 266.05
  4. Step 4: Simplify right side
    753.01x = 300,503.48
  5. Step 5: Solve for x
    x = 300,503.48/753.01
  6. Step 6: Final answer
    x = 399.07

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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.