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Finding the Fourth Proportional to 967.02, 1,446.93 and 577.23

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Solution

The fourth proportional to 967.02, 1,446.93 and 577.23 is: 863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.02 : 1,446.93 = 577.23 : x
  2. Step 2: Convert to fraction form
    967.02/1,446.93 = 577.23/x
  3. Step 3: Cross multiply
    967.02x = 1,446.93 × 577.23
  4. Step 4: Simplify right side
    967.02x = 835,211.40
  5. Step 5: Solve for x
    x = 835,211.40/967.02
  6. Step 6: Final answer
    x = 863.70

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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.