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Finding the Fourth Proportional to 1,066.52, 1,596.26 and 653.72

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Solution

The fourth proportional to 1,066.52, 1,596.26 and 653.72 is: 978.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.52 : 1,596.26 = 653.72 : x
  2. Step 2: Convert to fraction form
    1,066.52/1,596.26 = 653.72/x
  3. Step 3: Cross multiply
    1,066.52x = 1,596.26 × 653.72
  4. Step 4: Simplify right side
    1,066.52x = 1,043,500.74
  5. Step 5: Solve for x
    x = 1,043,500.74/1,066.52
  6. Step 6: Final answer
    x = 978.41

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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.