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Finding the Fourth Proportional to 1,202.43, 1,803.48 and 509.37

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Solution

The fourth proportional to 1,202.43, 1,803.48 and 509.37 is: 763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.43 : 1,803.48 = 509.37 : x
  2. Step 2: Convert to fraction form
    1,202.43/1,803.48 = 509.37/x
  3. Step 3: Cross multiply
    1,202.43x = 1,803.48 × 509.37
  4. Step 4: Simplify right side
    1,202.43x = 918,638.61
  5. Step 5: Solve for x
    x = 918,638.61/1,202.43
  6. Step 6: Final answer
    x = 763.99

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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.