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Finding the Fourth Proportional to 903.87, 1,356.57 and 411.02

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Solution

The fourth proportional to 903.87, 1,356.57 and 411.02 is: 616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.87 : 1,356.57 = 411.02 : x
  2. Step 2: Convert to fraction form
    903.87/1,356.57 = 411.02/x
  3. Step 3: Cross multiply
    903.87x = 1,356.57 × 411.02
  4. Step 4: Simplify right side
    903.87x = 557,577.40
  5. Step 5: Solve for x
    x = 557,577.40/903.87
  6. Step 6: Final answer
    x = 616.88

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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.