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Finding the Fourth Proportional to 1,127.76, 1,556.23 and 623.61

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Solution

The fourth proportional to 1,127.76, 1,556.23 and 623.61 is: 860.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.76 : 1,556.23 = 623.61 : x
  2. Step 2: Convert to fraction form
    1,127.76/1,556.23 = 623.61/x
  3. Step 3: Cross multiply
    1,127.76x = 1,556.23 × 623.61
  4. Step 4: Simplify right side
    1,127.76x = 970,480.59
  5. Step 5: Solve for x
    x = 970,480.59/1,127.76
  6. Step 6: Final answer
    x = 860.54

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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.