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Finding the Fourth Proportional to 753.16, 1,129.71 and 266.22

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Solution

The fourth proportional to 753.16, 1,129.71 and 266.22 is: 399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.16 : 1,129.71 = 266.22 : x
  2. Step 2: Convert to fraction form
    753.16/1,129.71 = 266.22/x
  3. Step 3: Cross multiply
    753.16x = 1,129.71 × 266.22
  4. Step 4: Simplify right side
    753.16x = 300,751.40
  5. Step 5: Solve for x
    x = 300,751.40/753.16
  6. Step 6: Final answer
    x = 399.32

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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.