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Finding the Fourth Proportional to 1,756.62, 2,635.54 and 602.38

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Solution

The fourth proportional to 1,756.62, 2,635.54 and 602.38 is: 903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.62 : 2,635.54 = 602.38 : x
  2. Step 2: Convert to fraction form
    1,756.62/2,635.54 = 602.38/x
  3. Step 3: Cross multiply
    1,756.62x = 2,635.54 × 602.38
  4. Step 4: Simplify right side
    1,756.62x = 1,587,596.59
  5. Step 5: Solve for x
    x = 1,587,596.59/1,756.62
  6. Step 6: Final answer
    x = 903.78

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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.