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Finding the Fourth Proportional to 972.85, 1,458.19 and 755.89

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Solution

The fourth proportional to 972.85, 1,458.19 and 755.89 is: 1,132.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.85 : 1,458.19 = 755.89 : x
  2. Step 2: Convert to fraction form
    972.85/1,458.19 = 755.89/x
  3. Step 3: Cross multiply
    972.85x = 1,458.19 × 755.89
  4. Step 4: Simplify right side
    972.85x = 1,102,231.24
  5. Step 5: Solve for x
    x = 1,102,231.24/972.85
  6. Step 6: Final answer
    x = 1,132.99

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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.