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Finding the Fourth Proportional to 1,602.14, 2,403.15 and 506.57

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Solution

The fourth proportional to 1,602.14, 2,403.15 and 506.57 is: 759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.14 : 2,403.15 = 506.57 : x
  2. Step 2: Convert to fraction form
    1,602.14/2,403.15 = 506.57/x
  3. Step 3: Cross multiply
    1,602.14x = 2,403.15 × 506.57
  4. Step 4: Simplify right side
    1,602.14x = 1,217,363.70
  5. Step 5: Solve for x
    x = 1,217,363.70/1,602.14
  6. Step 6: Final answer
    x = 759.84

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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.