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Finding the Fourth Proportional to 1,193.32, 1,789.24 and 535.06

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Solution

The fourth proportional to 1,193.32, 1,789.24 and 535.06 is: 802.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.32 : 1,789.24 = 535.06 : x
  2. Step 2: Convert to fraction form
    1,193.32/1,789.24 = 535.06/x
  3. Step 3: Cross multiply
    1,193.32x = 1,789.24 × 535.06
  4. Step 4: Simplify right side
    1,193.32x = 957,350.75
  5. Step 5: Solve for x
    x = 957,350.75/1,193.32
  6. Step 6: Final answer
    x = 802.26

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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.