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Finding the Fourth Proportional to 1,055.12, 1,581.60 and 534.16

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Solution

The fourth proportional to 1,055.12, 1,581.60 and 534.16 is: 800.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.12 : 1,581.60 = 534.16 : x
  2. Step 2: Convert to fraction form
    1,055.12/1,581.60 = 534.16/x
  3. Step 3: Cross multiply
    1,055.12x = 1,581.60 × 534.16
  4. Step 4: Simplify right side
    1,055.12x = 844,819.55
  5. Step 5: Solve for x
    x = 844,819.55/1,055.12
  6. Step 6: Final answer
    x = 800.69

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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.