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Finding the Fourth Proportional to 939.46, 1,407.86 and 690.72

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Solution

The fourth proportional to 939.46, 1,407.86 and 690.72 is: 1,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.46 : 1,407.86 = 690.72 : x
  2. Step 2: Convert to fraction form
    939.46/1,407.86 = 690.72/x
  3. Step 3: Cross multiply
    939.46x = 1,407.86 × 690.72
  4. Step 4: Simplify right side
    939.46x = 972,437.06
  5. Step 5: Solve for x
    x = 972,437.06/939.46
  6. Step 6: Final answer
    x = 1,035.10

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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.