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Finding the Fourth Proportional to 1,035.13, 1,552.85 and 341.56

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Solution

The fourth proportional to 1,035.13, 1,552.85 and 341.56 is: 512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.13 : 1,552.85 = 341.56 : x
  2. Step 2: Convert to fraction form
    1,035.13/1,552.85 = 341.56/x
  3. Step 3: Cross multiply
    1,035.13x = 1,552.85 × 341.56
  4. Step 4: Simplify right side
    1,035.13x = 530,391.45
  5. Step 5: Solve for x
    x = 530,391.45/1,035.13
  6. Step 6: Final answer
    x = 512.39

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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.