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Finding the Fourth Proportional to 1,362.02, 1,879.57 and 772.55

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Solution

The fourth proportional to 1,362.02, 1,879.57 and 772.55 is: 1,066.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.02 : 1,879.57 = 772.55 : x
  2. Step 2: Convert to fraction form
    1,362.02/1,879.57 = 772.55/x
  3. Step 3: Cross multiply
    1,362.02x = 1,879.57 × 772.55
  4. Step 4: Simplify right side
    1,362.02x = 1,452,050.47
  5. Step 5: Solve for x
    x = 1,452,050.47/1,362.02
  6. Step 6: Final answer
    x = 1,066.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.