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Finding the Fourth Proportional to 1,758.06, 2,635.40 and 587.41

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Solution

The fourth proportional to 1,758.06, 2,635.40 and 587.41 is: 880.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.06 : 2,635.40 = 587.41 : x
  2. Step 2: Convert to fraction form
    1,758.06/2,635.40 = 587.41/x
  3. Step 3: Cross multiply
    1,758.06x = 2,635.40 × 587.41
  4. Step 4: Simplify right side
    1,758.06x = 1,548,072.49
  5. Step 5: Solve for x
    x = 1,548,072.49/1,758.06
  6. Step 6: Final answer
    x = 880.56

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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.