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Finding the Fourth Proportional to 904.23, 1,357.56 and 782.73

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Solution

The fourth proportional to 904.23, 1,357.56 and 782.73 is: 1,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.23 : 1,357.56 = 782.73 : x
  2. Step 2: Convert to fraction form
    904.23/1,357.56 = 782.73/x
  3. Step 3: Cross multiply
    904.23x = 1,357.56 × 782.73
  4. Step 4: Simplify right side
    904.23x = 1,062,602.94
  5. Step 5: Solve for x
    x = 1,062,602.94/904.23
  6. Step 6: Final answer
    x = 1,175.15

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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.