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Finding the Fourth Proportional to 973.91, 1,458.16 and 757.91

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Solution

The fourth proportional to 973.91, 1,458.16 and 757.91 is: 1,134.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.91 : 1,458.16 = 757.91 : x
  2. Step 2: Convert to fraction form
    973.91/1,458.16 = 757.91/x
  3. Step 3: Cross multiply
    973.91x = 1,458.16 × 757.91
  4. Step 4: Simplify right side
    973.91x = 1,105,144.86
  5. Step 5: Solve for x
    x = 1,105,144.86/973.91
  6. Step 6: Final answer
    x = 1,134.76

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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.