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Finding the Fourth Proportional to 1,035.16, 1,428.60 and 569.44

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Solution

The fourth proportional to 1,035.16, 1,428.60 and 569.44 is: 785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.16 : 1,428.60 = 569.44 : x
  2. Step 2: Convert to fraction form
    1,035.16/1,428.60 = 569.44/x
  3. Step 3: Cross multiply
    1,035.16x = 1,428.60 × 569.44
  4. Step 4: Simplify right side
    1,035.16x = 813,501.98
  5. Step 5: Solve for x
    x = 813,501.98/1,035.16
  6. Step 6: Final answer
    x = 785.87

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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.