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Finding the Fourth Proportional to 1,035.17, 1,552.75 and 385.75

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Solution

The fourth proportional to 1,035.17, 1,552.75 and 385.75 is: 578.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.17 : 1,552.75 = 385.75 : x
  2. Step 2: Convert to fraction form
    1,035.17/1,552.75 = 385.75/x
  3. Step 3: Cross multiply
    1,035.17x = 1,552.75 × 385.75
  4. Step 4: Simplify right side
    1,035.17x = 598,973.31
  5. Step 5: Solve for x
    x = 598,973.31/1,035.17
  6. Step 6: Final answer
    x = 578.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.