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Finding the Fourth Proportional to 973.38, 1,458.24 and 755.91

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Solution

The fourth proportional to 973.38, 1,458.24 and 755.91 is: 1,132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.38 : 1,458.24 = 755.91 : x
  2. Step 2: Convert to fraction form
    973.38/1,458.24 = 755.91/x
  3. Step 3: Cross multiply
    973.38x = 1,458.24 × 755.91
  4. Step 4: Simplify right side
    973.38x = 1,102,298.20
  5. Step 5: Solve for x
    x = 1,102,298.20/973.38
  6. Step 6: Final answer
    x = 1,132.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.