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Finding the Fourth Proportional to 1,758.38, 2,638.10 and 525.83

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Solution

The fourth proportional to 1,758.38, 2,638.10 and 525.83 is: 788.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.38 : 2,638.10 = 525.83 : x
  2. Step 2: Convert to fraction form
    1,758.38/2,638.10 = 525.83/x
  3. Step 3: Cross multiply
    1,758.38x = 2,638.10 × 525.83
  4. Step 4: Simplify right side
    1,758.38x = 1,387,200.03
  5. Step 5: Solve for x
    x = 1,387,200.03/1,758.38
  6. Step 6: Final answer
    x = 788.91

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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.