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Finding the Fourth Proportional to 1,356.92, 2,035.44 and 383.10

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Solution

The fourth proportional to 1,356.92, 2,035.44 and 383.10 is: 574.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.92 : 2,035.44 = 383.10 : x
  2. Step 2: Convert to fraction form
    1,356.92/2,035.44 = 383.10/x
  3. Step 3: Cross multiply
    1,356.92x = 2,035.44 × 383.10
  4. Step 4: Simplify right side
    1,356.92x = 779,769.43
  5. Step 5: Solve for x
    x = 779,769.43/1,356.92
  6. Step 6: Final answer
    x = 574.66

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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.