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Finding the Fourth Proportional to 1,035.12, 1,552.75 and 385.64

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Solution

The fourth proportional to 1,035.12, 1,552.75 and 385.64 is: 578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.12 : 1,552.75 = 385.64 : x
  2. Step 2: Convert to fraction form
    1,035.12/1,552.75 = 385.64/x
  3. Step 3: Cross multiply
    1,035.12x = 1,552.75 × 385.64
  4. Step 4: Simplify right side
    1,035.12x = 598,792.82
  5. Step 5: Solve for x
    x = 598,792.82/1,035.12
  6. Step 6: Final answer
    x = 578.48

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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.