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Finding the Fourth Proportional to 1,068.55, 1,601.72 and 410.27

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Solution

The fourth proportional to 1,068.55, 1,601.72 and 410.27 is: 614.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.55 : 1,601.72 = 410.27 : x
  2. Step 2: Convert to fraction form
    1,068.55/1,601.72 = 410.27/x
  3. Step 3: Cross multiply
    1,068.55x = 1,601.72 × 410.27
  4. Step 4: Simplify right side
    1,068.55x = 657,137.66
  5. Step 5: Solve for x
    x = 657,137.66/1,068.55
  6. Step 6: Final answer
    x = 614.98

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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.