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Finding the Fourth Proportional to 1,250.06, 1,874.52 and 469.82

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Solution

The fourth proportional to 1,250.06, 1,874.52 and 469.82 is: 704.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.06 : 1,874.52 = 469.82 : x
  2. Step 2: Convert to fraction form
    1,250.06/1,874.52 = 469.82/x
  3. Step 3: Cross multiply
    1,250.06x = 1,874.52 × 469.82
  4. Step 4: Simplify right side
    1,250.06x = 880,686.99
  5. Step 5: Solve for x
    x = 880,686.99/1,250.06
  6. Step 6: Final answer
    x = 704.52

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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.