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Finding the Fourth Proportional to 942.41, 1,412.85 and 710.84

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Solution

The fourth proportional to 942.41, 1,412.85 and 710.84 is: 1,065.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.41 : 1,412.85 = 710.84 : x
  2. Step 2: Convert to fraction form
    942.41/1,412.85 = 710.84/x
  3. Step 3: Cross multiply
    942.41x = 1,412.85 × 710.84
  4. Step 4: Simplify right side
    942.41x = 1,004,310.29
  5. Step 5: Solve for x
    x = 1,004,310.29/942.41
  6. Step 6: Final answer
    x = 1,065.68

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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.