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Finding the Fourth Proportional to 947.48, 1,422.15 and 582.98

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Solution

The fourth proportional to 947.48, 1,422.15 and 582.98 is: 875.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.48 : 1,422.15 = 582.98 : x
  2. Step 2: Convert to fraction form
    947.48/1,422.15 = 582.98/x
  3. Step 3: Cross multiply
    947.48x = 1,422.15 × 582.98
  4. Step 4: Simplify right side
    947.48x = 829,082.09
  5. Step 5: Solve for x
    x = 829,082.09/947.48
  6. Step 6: Final answer
    x = 875.04

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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.