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Finding the Fourth Proportional to 904.38, 1,354.56 and 513.48

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Solution

The fourth proportional to 904.38, 1,354.56 and 513.48 is: 769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.38 : 1,354.56 = 513.48 : x
  2. Step 2: Convert to fraction form
    904.38/1,354.56 = 513.48/x
  3. Step 3: Cross multiply
    904.38x = 1,354.56 × 513.48
  4. Step 4: Simplify right side
    904.38x = 695,539.47
  5. Step 5: Solve for x
    x = 695,539.47/904.38
  6. Step 6: Final answer
    x = 769.08

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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.