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Finding the Fourth Proportional to 1,068.55, 1,602.59 and 338.00

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Solution

The fourth proportional to 1,068.55, 1,602.59 and 338.00 is: 506.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.55 : 1,602.59 = 338.00 : x
  2. Step 2: Convert to fraction form
    1,068.55/1,602.59 = 338.00/x
  3. Step 3: Cross multiply
    1,068.55x = 1,602.59 × 338.00
  4. Step 4: Simplify right side
    1,068.55x = 541,665.72
  5. Step 5: Solve for x
    x = 541,665.72/1,068.55
  6. Step 6: Final answer
    x = 506.92

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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.