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Finding the Fourth Proportional to 788.53, 1,088.33 and 474.05

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Solution

The fourth proportional to 788.53, 1,088.33 and 474.05 is: 654.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.53 : 1,088.33 = 474.05 : x
  2. Step 2: Convert to fraction form
    788.53/1,088.33 = 474.05/x
  3. Step 3: Cross multiply
    788.53x = 1,088.33 × 474.05
  4. Step 4: Simplify right side
    788.53x = 515,922.84
  5. Step 5: Solve for x
    x = 515,922.84/788.53
  6. Step 6: Final answer
    x = 654.28

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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.