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Finding the Fourth Proportional to 1,066.08, 1,597.89 and 579.54

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Solution

The fourth proportional to 1,066.08, 1,597.89 and 579.54 is: 868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.08 : 1,597.89 = 579.54 : x
  2. Step 2: Convert to fraction form
    1,066.08/1,597.89 = 579.54/x
  3. Step 3: Cross multiply
    1,066.08x = 1,597.89 × 579.54
  4. Step 4: Simplify right side
    1,066.08x = 926,041.17
  5. Step 5: Solve for x
    x = 926,041.17/1,066.08
  6. Step 6: Final answer
    x = 868.64

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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.