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Finding the Fourth Proportional to 1,052.06, 1,577.12 and 466.75

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Solution

The fourth proportional to 1,052.06, 1,577.12 and 466.75 is: 699.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.06 : 1,577.12 = 466.75 : x
  2. Step 2: Convert to fraction form
    1,052.06/1,577.12 = 466.75/x
  3. Step 3: Cross multiply
    1,052.06x = 1,577.12 × 466.75
  4. Step 4: Simplify right side
    1,052.06x = 736,120.76
  5. Step 5: Solve for x
    x = 736,120.76/1,052.06
  6. Step 6: Final answer
    x = 699.69

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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.