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Finding the Fourth Proportional to 1,066.20, 1,598.85 and 335.58

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Solution

The fourth proportional to 1,066.20, 1,598.85 and 335.58 is: 503.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.20 : 1,598.85 = 335.58 : x
  2. Step 2: Convert to fraction form
    1,066.20/1,598.85 = 335.58/x
  3. Step 3: Cross multiply
    1,066.20x = 1,598.85 × 335.58
  4. Step 4: Simplify right side
    1,066.20x = 536,542.08
  5. Step 5: Solve for x
    x = 536,542.08/1,066.20
  6. Step 6: Final answer
    x = 503.23

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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.