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Finding the Fourth Proportional to 940.32, 1,410.96 and 710.61

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Solution

The fourth proportional to 940.32, 1,410.96 and 710.61 is: 1,066.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.32 : 1,410.96 = 710.61 : x
  2. Step 2: Convert to fraction form
    940.32/1,410.96 = 710.61/x
  3. Step 3: Cross multiply
    940.32x = 1,410.96 × 710.61
  4. Step 4: Simplify right side
    940.32x = 1,002,642.29
  5. Step 5: Solve for x
    x = 1,002,642.29/940.32
  6. Step 6: Final answer
    x = 1,066.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.