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Finding the Fourth Proportional to 1,030.36, 1,423.26 and 767.92

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Solution

The fourth proportional to 1,030.36, 1,423.26 and 767.92 is: 1,060.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.36 : 1,423.26 = 767.92 : x
  2. Step 2: Convert to fraction form
    1,030.36/1,423.26 = 767.92/x
  3. Step 3: Cross multiply
    1,030.36x = 1,423.26 × 767.92
  4. Step 4: Simplify right side
    1,030.36x = 1,092,949.82
  5. Step 5: Solve for x
    x = 1,092,949.82/1,030.36
  6. Step 6: Final answer
    x = 1,060.75

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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.