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Finding the Fourth Proportional to 947.30, 1,423.02 and 675.14

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Solution

The fourth proportional to 947.30, 1,423.02 and 675.14 is: 1,014.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.30 : 1,423.02 = 675.14 : x
  2. Step 2: Convert to fraction form
    947.30/1,423.02 = 675.14/x
  3. Step 3: Cross multiply
    947.30x = 1,423.02 × 675.14
  4. Step 4: Simplify right side
    947.30x = 960,737.72
  5. Step 5: Solve for x
    x = 960,737.72/947.30
  6. Step 6: Final answer
    x = 1,014.19

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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.