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Finding the Fourth Proportional to 1,602.20, 2,403.75 and 506.72

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Solution

The fourth proportional to 1,602.20, 2,403.75 and 506.72 is: 760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.20 : 2,403.75 = 506.72 : x
  2. Step 2: Convert to fraction form
    1,602.20/2,403.75 = 506.72/x
  3. Step 3: Cross multiply
    1,602.20x = 2,403.75 × 506.72
  4. Step 4: Simplify right side
    1,602.20x = 1,218,028.20
  5. Step 5: Solve for x
    x = 1,218,028.20/1,602.20
  6. Step 6: Final answer
    x = 760.22

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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.