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Finding the Fourth Proportional to 1,356.14, 2,034.49 and 478.60

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Solution

The fourth proportional to 1,356.14, 2,034.49 and 478.60 is: 718.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.14 : 2,034.49 = 478.60 : x
  2. Step 2: Convert to fraction form
    1,356.14/2,034.49 = 478.60/x
  3. Step 3: Cross multiply
    1,356.14x = 2,034.49 × 478.60
  4. Step 4: Simplify right side
    1,356.14x = 973,706.91
  5. Step 5: Solve for x
    x = 973,706.91/1,356.14
  6. Step 6: Final answer
    x = 718.00

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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.