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Finding the Fourth Proportional to 1,047.05, 1,444.80 and 621.60

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Solution

The fourth proportional to 1,047.05, 1,444.80 and 621.60 is: 857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.05 : 1,444.80 = 621.60 : x
  2. Step 2: Convert to fraction form
    1,047.05/1,444.80 = 621.60/x
  3. Step 3: Cross multiply
    1,047.05x = 1,444.80 × 621.60
  4. Step 4: Simplify right side
    1,047.05x = 898,087.68
  5. Step 5: Solve for x
    x = 898,087.68/1,047.05
  6. Step 6: Final answer
    x = 857.74

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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.