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Finding the Fourth Proportional to 1,052.33, 1,453.14 and 654.67

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Solution

The fourth proportional to 1,052.33, 1,453.14 and 654.67 is: 904.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.33 : 1,453.14 = 654.67 : x
  2. Step 2: Convert to fraction form
    1,052.33/1,453.14 = 654.67/x
  3. Step 3: Cross multiply
    1,052.33x = 1,453.14 × 654.67
  4. Step 4: Simplify right side
    1,052.33x = 951,323.53
  5. Step 5: Solve for x
    x = 951,323.53/1,052.33
  6. Step 6: Final answer
    x = 904.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.