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Finding the Fourth Proportional to 1,407.23, 2,111.33 and 627.77

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Solution

The fourth proportional to 1,407.23, 2,111.33 and 627.77 is: 941.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.23 : 2,111.33 = 627.77 : x
  2. Step 2: Convert to fraction form
    1,407.23/2,111.33 = 627.77/x
  3. Step 3: Cross multiply
    1,407.23x = 2,111.33 × 627.77
  4. Step 4: Simplify right side
    1,407.23x = 1,325,436.48
  5. Step 5: Solve for x
    x = 1,325,436.48/1,407.23
  6. Step 6: Final answer
    x = 941.88

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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.