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Finding the Fourth Proportional to 1,757, 2,635.96 and 602.76

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Solution

The fourth proportional to 1,757, 2,635.96 and 602.76 is: 904.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757 : 2,635.96 = 602.76 : x
  2. Step 2: Convert to fraction form
    1,757/2,635.96 = 602.76/x
  3. Step 3: Cross multiply
    1,757x = 2,635.96 × 602.76
  4. Step 4: Simplify right side
    1,757x = 1,588,851.25
  5. Step 5: Solve for x
    x = 1,588,851.25/1,757
  6. Step 6: Final answer
    x = 904.30

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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.