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Finding the Fourth Proportional to 1,433.85, 2,151.36 and 612.29

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Solution

The fourth proportional to 1,433.85, 2,151.36 and 612.29 is: 918.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.85 : 2,151.36 = 612.29 : x
  2. Step 2: Convert to fraction form
    1,433.85/2,151.36 = 612.29/x
  3. Step 3: Cross multiply
    1,433.85x = 2,151.36 × 612.29
  4. Step 4: Simplify right side
    1,433.85x = 1,317,245.46
  5. Step 5: Solve for x
    x = 1,317,245.46/1,433.85
  6. Step 6: Final answer
    x = 918.68

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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.