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Finding the Fourth Proportional to 1,535.15, 2,300.67 and 560.32

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Solution

The fourth proportional to 1,535.15, 2,300.67 and 560.32 is: 839.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.15 : 2,300.67 = 560.32 : x
  2. Step 2: Convert to fraction form
    1,535.15/2,300.67 = 560.32/x
  3. Step 3: Cross multiply
    1,535.15x = 2,300.67 × 560.32
  4. Step 4: Simplify right side
    1,535.15x = 1,289,105.66
  5. Step 5: Solve for x
    x = 1,289,105.66/1,535.15
  6. Step 6: Final answer
    x = 839.72

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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.