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Finding the Fourth Proportional to 753.69, 1,130.69 and 266.67

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Solution

The fourth proportional to 753.69, 1,130.69 and 266.67 is: 400.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.69 : 1,130.69 = 266.67 : x
  2. Step 2: Convert to fraction form
    753.69/1,130.69 = 266.67/x
  3. Step 3: Cross multiply
    753.69x = 1,130.69 × 266.67
  4. Step 4: Simplify right side
    753.69x = 301,519.77
  5. Step 5: Solve for x
    x = 301,519.77/753.69
  6. Step 6: Final answer
    x = 400.06

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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.