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Finding the Fourth Proportional to 947.10, 1,306.44 and 597.18

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Solution

The fourth proportional to 947.10, 1,306.44 and 597.18 is: 823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.10 : 1,306.44 = 597.18 : x
  2. Step 2: Convert to fraction form
    947.10/1,306.44 = 597.18/x
  3. Step 3: Cross multiply
    947.10x = 1,306.44 × 597.18
  4. Step 4: Simplify right side
    947.10x = 780,179.84
  5. Step 5: Solve for x
    x = 780,179.84/947.10
  6. Step 6: Final answer
    x = 823.76

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Why These Related Problems?

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