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Finding the Fourth Proportional to 1,356.58, 2,035.01 and 382.69

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Solution

The fourth proportional to 1,356.58, 2,035.01 and 382.69 is: 574.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.58 : 2,035.01 = 382.69 : x
  2. Step 2: Convert to fraction form
    1,356.58/2,035.01 = 382.69/x
  3. Step 3: Cross multiply
    1,356.58x = 2,035.01 × 382.69
  4. Step 4: Simplify right side
    1,356.58x = 778,777.98
  5. Step 5: Solve for x
    x = 778,777.98/1,356.58
  6. Step 6: Final answer
    x = 574.07

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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.