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Finding the Fourth Proportional to 1,068.16, 1,602.33 and 337.72

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Solution

The fourth proportional to 1,068.16, 1,602.33 and 337.72 is: 506.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.16 : 1,602.33 = 337.72 : x
  2. Step 2: Convert to fraction form
    1,068.16/1,602.33 = 337.72/x
  3. Step 3: Cross multiply
    1,068.16x = 1,602.33 × 337.72
  4. Step 4: Simplify right side
    1,068.16x = 541,138.89
  5. Step 5: Solve for x
    x = 541,138.89/1,068.16
  6. Step 6: Final answer
    x = 506.61

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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.