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Finding the Fourth Proportional to 1,092.96, 1,635.58 and 1,030.59

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Solution

The fourth proportional to 1,092.96, 1,635.58 and 1,030.59 is: 1,542.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.96 : 1,635.58 = 1,030.59 : x
  2. Step 2: Convert to fraction form
    1,092.96/1,635.58 = 1,030.59/x
  3. Step 3: Cross multiply
    1,092.96x = 1,635.58 × 1,030.59
  4. Step 4: Simplify right side
    1,092.96x = 1,685,612.39
  5. Step 5: Solve for x
    x = 1,685,612.39/1,092.96
  6. Step 6: Final answer
    x = 1,542.25

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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.