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Finding the Fourth Proportional to 1,042.68, 1,438.95 and 600.64

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Solution

The fourth proportional to 1,042.68, 1,438.95 and 600.64 is: 828.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.68 : 1,438.95 = 600.64 : x
  2. Step 2: Convert to fraction form
    1,042.68/1,438.95 = 600.64/x
  3. Step 3: Cross multiply
    1,042.68x = 1,438.95 × 600.64
  4. Step 4: Simplify right side
    1,042.68x = 864,290.93
  5. Step 5: Solve for x
    x = 864,290.93/1,042.68
  6. Step 6: Final answer
    x = 828.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.