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Finding the Fourth Proportional to 1,350.07, 2,025.74 and 772.94

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Solution

The fourth proportional to 1,350.07, 2,025.74 and 772.94 is: 1,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.07 : 2,025.74 = 772.94 : x
  2. Step 2: Convert to fraction form
    1,350.07/2,025.74 = 772.94/x
  3. Step 3: Cross multiply
    1,350.07x = 2,025.74 × 772.94
  4. Step 4: Simplify right side
    1,350.07x = 1,565,771.61
  5. Step 5: Solve for x
    x = 1,565,771.61/1,350.07
  6. Step 6: Final answer
    x = 1,159.77

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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.