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Finding the Fourth Proportional to 943.01, 1,412.51 and 596.16

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Solution

The fourth proportional to 943.01, 1,412.51 and 596.16 is: 892.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.01 : 1,412.51 = 596.16 : x
  2. Step 2: Convert to fraction form
    943.01/1,412.51 = 596.16/x
  3. Step 3: Cross multiply
    943.01x = 1,412.51 × 596.16
  4. Step 4: Simplify right side
    943.01x = 842,083.45
  5. Step 5: Solve for x
    x = 842,083.45/943.01
  6. Step 6: Final answer
    x = 892.98

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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.