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Finding the Fourth Proportional to 788.54, 1,088.24 and 474.15

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Solution

The fourth proportional to 788.54, 1,088.24 and 474.15 is: 654.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.54 : 1,088.24 = 474.15 : x
  2. Step 2: Convert to fraction form
    788.54/1,088.24 = 474.15/x
  3. Step 3: Cross multiply
    788.54x = 1,088.24 × 474.15
  4. Step 4: Simplify right side
    788.54x = 515,990.71
  5. Step 5: Solve for x
    x = 515,990.71/788.54
  6. Step 6: Final answer
    x = 654.37

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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.