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Finding the Fourth Proportional to 1,202.72, 1,803.74 and 509.36

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Solution

The fourth proportional to 1,202.72, 1,803.74 and 509.36 is: 763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.72 : 1,803.74 = 509.36 : x
  2. Step 2: Convert to fraction form
    1,202.72/1,803.74 = 509.36/x
  3. Step 3: Cross multiply
    1,202.72x = 1,803.74 × 509.36
  4. Step 4: Simplify right side
    1,202.72x = 918,741.44
  5. Step 5: Solve for x
    x = 918,741.44/1,202.72
  6. Step 6: Final answer
    x = 763.89

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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.