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Finding the Fourth Proportional to 1,055.71, 1,456.75 and 636.05

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Solution

The fourth proportional to 1,055.71, 1,456.75 and 636.05 is: 877.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.71 : 1,456.75 = 636.05 : x
  2. Step 2: Convert to fraction form
    1,055.71/1,456.75 = 636.05/x
  3. Step 3: Cross multiply
    1,055.71x = 1,456.75 × 636.05
  4. Step 4: Simplify right side
    1,055.71x = 926,562.66
  5. Step 5: Solve for x
    x = 926,562.66/1,055.71
  6. Step 6: Final answer
    x = 877.67

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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.