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Finding the Fourth Proportional to 900.29, 1,349.22 and 655.67

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Solution

The fourth proportional to 900.29, 1,349.22 and 655.67 is: 982.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.29 : 1,349.22 = 655.67 : x
  2. Step 2: Convert to fraction form
    900.29/1,349.22 = 655.67/x
  3. Step 3: Cross multiply
    900.29x = 1,349.22 × 655.67
  4. Step 4: Simplify right side
    900.29x = 884,643.08
  5. Step 5: Solve for x
    x = 884,643.08/900.29
  6. Step 6: Final answer
    x = 982.62

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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.