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Finding the Fourth Proportional to 1,035.05, 1,428.37 and 562.95

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Solution

The fourth proportional to 1,035.05, 1,428.37 and 562.95 is: 776.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.05 : 1,428.37 = 562.95 : x
  2. Step 2: Convert to fraction form
    1,035.05/1,428.37 = 562.95/x
  3. Step 3: Cross multiply
    1,035.05x = 1,428.37 × 562.95
  4. Step 4: Simplify right side
    1,035.05x = 804,099.48
  5. Step 5: Solve for x
    x = 804,099.48/1,035.05
  6. Step 6: Final answer
    x = 776.87

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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.