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Finding the Fourth Proportional to 1,066.76, 1,596.52 and 656.16

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Solution

The fourth proportional to 1,066.76, 1,596.52 and 656.16 is: 982.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.76 : 1,596.52 = 656.16 : x
  2. Step 2: Convert to fraction form
    1,066.76/1,596.52 = 656.16/x
  3. Step 3: Cross multiply
    1,066.76x = 1,596.52 × 656.16
  4. Step 4: Simplify right side
    1,066.76x = 1,047,572.56
  5. Step 5: Solve for x
    x = 1,047,572.56/1,066.76
  6. Step 6: Final answer
    x = 982.01

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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.