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Finding the Fourth Proportional to 753.83, 1,130.87 and 267.02

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Solution

The fourth proportional to 753.83, 1,130.87 and 267.02 is: 400.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.83 : 1,130.87 = 267.02 : x
  2. Step 2: Convert to fraction form
    753.83/1,130.87 = 267.02/x
  3. Step 3: Cross multiply
    753.83x = 1,130.87 × 267.02
  4. Step 4: Simplify right side
    753.83x = 301,964.91
  5. Step 5: Solve for x
    x = 301,964.91/753.83
  6. Step 6: Final answer
    x = 400.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.