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Finding the Fourth Proportional to 1,136.24, 1,569.32 and 928.88

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Solution

The fourth proportional to 1,136.24, 1,569.32 and 928.88 is: 1,282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.24 : 1,569.32 = 928.88 : x
  2. Step 2: Convert to fraction form
    1,136.24/1,569.32 = 928.88/x
  3. Step 3: Cross multiply
    1,136.24x = 1,569.32 × 928.88
  4. Step 4: Simplify right side
    1,136.24x = 1,457,709.96
  5. Step 5: Solve for x
    x = 1,457,709.96/1,136.24
  6. Step 6: Final answer
    x = 1,282.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.