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Finding the Fourth Proportional to 1,356.66, 2,035.08 and 382.68

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Solution

The fourth proportional to 1,356.66, 2,035.08 and 382.68 is: 574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.66 : 2,035.08 = 382.68 : x
  2. Step 2: Convert to fraction form
    1,356.66/2,035.08 = 382.68/x
  3. Step 3: Cross multiply
    1,356.66x = 2,035.08 × 382.68
  4. Step 4: Simplify right side
    1,356.66x = 778,784.41
  5. Step 5: Solve for x
    x = 778,784.41/1,356.66
  6. Step 6: Final answer
    x = 574.05

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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.