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Finding the Fourth Proportional to 1,284.83, 1,927.92 and 700.25

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Solution

The fourth proportional to 1,284.83, 1,927.92 and 700.25 is: 1,050.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.83 : 1,927.92 = 700.25 : x
  2. Step 2: Convert to fraction form
    1,284.83/1,927.92 = 700.25/x
  3. Step 3: Cross multiply
    1,284.83x = 1,927.92 × 700.25
  4. Step 4: Simplify right side
    1,284.83x = 1,350,025.98
  5. Step 5: Solve for x
    x = 1,350,025.98/1,284.83
  6. Step 6: Final answer
    x = 1,050.74

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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.