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Finding the Fourth Proportional to 1,092.76, 1,639.02 and 507.52

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Solution

The fourth proportional to 1,092.76, 1,639.02 and 507.52 is: 761.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.76 : 1,639.02 = 507.52 : x
  2. Step 2: Convert to fraction form
    1,092.76/1,639.02 = 507.52/x
  3. Step 3: Cross multiply
    1,092.76x = 1,639.02 × 507.52
  4. Step 4: Simplify right side
    1,092.76x = 831,835.43
  5. Step 5: Solve for x
    x = 831,835.43/1,092.76
  6. Step 6: Final answer
    x = 761.22

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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.