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Finding the Fourth Proportional to 1,528.75, 2,294.49 and 788.89

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Solution

The fourth proportional to 1,528.75, 2,294.49 and 788.89 is: 1,184.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.75 : 2,294.49 = 788.89 : x
  2. Step 2: Convert to fraction form
    1,528.75/2,294.49 = 788.89/x
  3. Step 3: Cross multiply
    1,528.75x = 2,294.49 × 788.89
  4. Step 4: Simplify right side
    1,528.75x = 1,810,100.22
  5. Step 5: Solve for x
    x = 1,810,100.22/1,528.75
  6. Step 6: Final answer
    x = 1,184.04

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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.