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Finding the Fourth Proportional to 942.06, 1,412.01 and 724.98

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Solution

The fourth proportional to 942.06, 1,412.01 and 724.98 is: 1,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.06 : 1,412.01 = 724.98 : x
  2. Step 2: Convert to fraction form
    942.06/1,412.01 = 724.98/x
  3. Step 3: Cross multiply
    942.06x = 1,412.01 × 724.98
  4. Step 4: Simplify right side
    942.06x = 1,023,679.01
  5. Step 5: Solve for x
    x = 1,023,679.01/942.06
  6. Step 6: Final answer
    x = 1,086.64

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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.