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Finding the Fourth Proportional to 1,082.16, 1,492.61 and 750.69

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Solution

The fourth proportional to 1,082.16, 1,492.61 and 750.69 is: 1,035.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.16 : 1,492.61 = 750.69 : x
  2. Step 2: Convert to fraction form
    1,082.16/1,492.61 = 750.69/x
  3. Step 3: Cross multiply
    1,082.16x = 1,492.61 × 750.69
  4. Step 4: Simplify right side
    1,082.16x = 1,120,483.65
  5. Step 5: Solve for x
    x = 1,120,483.65/1,082.16
  6. Step 6: Final answer
    x = 1,035.41

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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.