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Finding the Fourth Proportional to 1,066.32, 1,472.88 and 786.96

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Solution

The fourth proportional to 1,066.32, 1,472.88 and 786.96 is: 1,087.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.32 : 1,472.88 = 786.96 : x
  2. Step 2: Convert to fraction form
    1,066.32/1,472.88 = 786.96/x
  3. Step 3: Cross multiply
    1,066.32x = 1,472.88 × 786.96
  4. Step 4: Simplify right side
    1,066.32x = 1,159,097.64
  5. Step 5: Solve for x
    x = 1,159,097.64/1,066.32
  6. Step 6: Final answer
    x = 1,087.01

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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.