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Finding the Fourth Proportional to 1,602.26, 2,403.82 and 506.65

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Solution

The fourth proportional to 1,602.26, 2,403.82 and 506.65 is: 760.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.26 : 2,403.82 = 506.65 : x
  2. Step 2: Convert to fraction form
    1,602.26/2,403.82 = 506.65/x
  3. Step 3: Cross multiply
    1,602.26x = 2,403.82 × 506.65
  4. Step 4: Simplify right side
    1,602.26x = 1,217,883.38
  5. Step 5: Solve for x
    x = 1,217,883.38/1,602.26
  6. Step 6: Final answer
    x = 760.10

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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.