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Finding the Fourth Proportional to 1,324.13, 1,985.81 and 533.49

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Solution

The fourth proportional to 1,324.13, 1,985.81 and 533.49 is: 800.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.13 : 1,985.81 = 533.49 : x
  2. Step 2: Convert to fraction form
    1,324.13/1,985.81 = 533.49/x
  3. Step 3: Cross multiply
    1,324.13x = 1,985.81 × 533.49
  4. Step 4: Simplify right side
    1,324.13x = 1,059,401.16
  5. Step 5: Solve for x
    x = 1,059,401.16/1,324.13
  6. Step 6: Final answer
    x = 800.08

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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.