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Finding the Fourth Proportional to 1,669.47, 2,503.97 and 436.78

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Solution

The fourth proportional to 1,669.47, 2,503.97 and 436.78 is: 655.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.47 : 2,503.97 = 436.78 : x
  2. Step 2: Convert to fraction form
    1,669.47/2,503.97 = 436.78/x
  3. Step 3: Cross multiply
    1,669.47x = 2,503.97 × 436.78
  4. Step 4: Simplify right side
    1,669.47x = 1,093,684.02
  5. Step 5: Solve for x
    x = 1,093,684.02/1,669.47
  6. Step 6: Final answer
    x = 655.11

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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.