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Finding the Fourth Proportional to 1,535.89, 2,303.61 and 755.69

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Solution

The fourth proportional to 1,535.89, 2,303.61 and 755.69 is: 1,133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.89 : 2,303.61 = 755.69 : x
  2. Step 2: Convert to fraction form
    1,535.89/2,303.61 = 755.69/x
  3. Step 3: Cross multiply
    1,535.89x = 2,303.61 × 755.69
  4. Step 4: Simplify right side
    1,535.89x = 1,740,803.52
  5. Step 5: Solve for x
    x = 1,740,803.52/1,535.89
  6. Step 6: Final answer
    x = 1,133.42

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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.