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Finding the Fourth Proportional to 1,759.17, 2,636.76 and 588.90

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Solution

The fourth proportional to 1,759.17, 2,636.76 and 588.90 is: 882.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.17 : 2,636.76 = 588.90 : x
  2. Step 2: Convert to fraction form
    1,759.17/2,636.76 = 588.90/x
  3. Step 3: Cross multiply
    1,759.17x = 2,636.76 × 588.90
  4. Step 4: Simplify right side
    1,759.17x = 1,552,800.06
  5. Step 5: Solve for x
    x = 1,552,800.06/1,759.17
  6. Step 6: Final answer
    x = 882.69

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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.