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Finding the Fourth Proportional to 1,202.46, 1,803.93 and 509.12

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Solution

The fourth proportional to 1,202.46, 1,803.93 and 509.12 is: 763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.46 : 1,803.93 = 509.12 : x
  2. Step 2: Convert to fraction form
    1,202.46/1,803.93 = 509.12/x
  3. Step 3: Cross multiply
    1,202.46x = 1,803.93 × 509.12
  4. Step 4: Simplify right side
    1,202.46x = 918,416.84
  5. Step 5: Solve for x
    x = 918,416.84/1,202.46
  6. Step 6: Final answer
    x = 763.78

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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.