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Finding the Fourth Proportional to 1,356.60, 2,034.90 and 382.70

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Solution

The fourth proportional to 1,356.60, 2,034.90 and 382.70 is: 574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.60 : 2,034.90 = 382.70 : x
  2. Step 2: Convert to fraction form
    1,356.60/2,034.90 = 382.70/x
  3. Step 3: Cross multiply
    1,356.60x = 2,034.90 × 382.70
  4. Step 4: Simplify right side
    1,356.60x = 778,756.23
  5. Step 5: Solve for x
    x = 778,756.23/1,356.60
  6. Step 6: Final answer
    x = 574.05

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