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Finding the Fourth Proportional to 1,082.07, 1,492.75 and 688.81

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Solution

The fourth proportional to 1,082.07, 1,492.75 and 688.81 is: 950.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.07 : 1,492.75 = 688.81 : x
  2. Step 2: Convert to fraction form
    1,082.07/1,492.75 = 688.81/x
  3. Step 3: Cross multiply
    1,082.07x = 1,492.75 × 688.81
  4. Step 4: Simplify right side
    1,082.07x = 1,028,221.13
  5. Step 5: Solve for x
    x = 1,028,221.13/1,082.07
  6. Step 6: Final answer
    x = 950.24

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Why These Related Problems?

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