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Finding the Fourth Proportional to 750.20, 1,035.18 and 418.60

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Solution

The fourth proportional to 750.20, 1,035.18 and 418.60 is: 577.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.20 : 1,035.18 = 418.60 : x
  2. Step 2: Convert to fraction form
    750.20/1,035.18 = 418.60/x
  3. Step 3: Cross multiply
    750.20x = 1,035.18 × 418.60
  4. Step 4: Simplify right side
    750.20x = 433,327.64
  5. Step 5: Solve for x
    x = 433,327.64/750.20
  6. Step 6: Final answer
    x = 577.62

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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.