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Finding the Fourth Proportional to 1,535.02, 2,301.84 and 560.44

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Solution

The fourth proportional to 1,535.02, 2,301.84 and 560.44 is: 840.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.02 : 2,301.84 = 560.44 : x
  2. Step 2: Convert to fraction form
    1,535.02/2,301.84 = 560.44/x
  3. Step 3: Cross multiply
    1,535.02x = 2,301.84 × 560.44
  4. Step 4: Simplify right side
    1,535.02x = 1,290,039.56
  5. Step 5: Solve for x
    x = 1,290,039.56/1,535.02
  6. Step 6: Final answer
    x = 840.41

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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.