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Finding the Fourth Proportional to 1,052.71, 1,454.55 and 866.07

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Solution

The fourth proportional to 1,052.71, 1,454.55 and 866.07 is: 1,196.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.71 : 1,454.55 = 866.07 : x
  2. Step 2: Convert to fraction form
    1,052.71/1,454.55 = 866.07/x
  3. Step 3: Cross multiply
    1,052.71x = 1,454.55 × 866.07
  4. Step 4: Simplify right side
    1,052.71x = 1,259,742.12
  5. Step 5: Solve for x
    x = 1,259,742.12/1,052.71
  6. Step 6: Final answer
    x = 1,196.67

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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.