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Finding the Fourth Proportional to 1,066.08, 1,471.68 and 623.82

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Solution

The fourth proportional to 1,066.08, 1,471.68 and 623.82 is: 861.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.08 : 1,471.68 = 623.82 : x
  2. Step 2: Convert to fraction form
    1,066.08/1,471.68 = 623.82/x
  3. Step 3: Cross multiply
    1,066.08x = 1,471.68 × 623.82
  4. Step 4: Simplify right side
    1,066.08x = 918,063.42
  5. Step 5: Solve for x
    x = 918,063.42/1,066.08
  6. Step 6: Final answer
    x = 861.16

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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.