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Finding the Fourth Proportional to 912.24, 1,369.04 and 501.30

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Solution

The fourth proportional to 912.24, 1,369.04 and 501.30 is: 752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.24 : 1,369.04 = 501.30 : x
  2. Step 2: Convert to fraction form
    912.24/1,369.04 = 501.30/x
  3. Step 3: Cross multiply
    912.24x = 1,369.04 × 501.30
  4. Step 4: Simplify right side
    912.24x = 686,297.25
  5. Step 5: Solve for x
    x = 686,297.25/912.24
  6. Step 6: Final answer
    x = 752.32

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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.