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Finding the Fourth Proportional to 1,759.06, 2,637.70 and 588.66

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Solution

The fourth proportional to 1,759.06, 2,637.70 and 588.66 is: 882.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.06 : 2,637.70 = 588.66 : x
  2. Step 2: Convert to fraction form
    1,759.06/2,637.70 = 588.66/x
  3. Step 3: Cross multiply
    1,759.06x = 2,637.70 × 588.66
  4. Step 4: Simplify right side
    1,759.06x = 1,552,708.48
  5. Step 5: Solve for x
    x = 1,552,708.48/1,759.06
  6. Step 6: Final answer
    x = 882.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.