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Finding the Fourth Proportional to 973.39, 1,458.86 and 767.14

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Solution

The fourth proportional to 973.39, 1,458.86 and 767.14 is: 1,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.39 : 1,458.86 = 767.14 : x
  2. Step 2: Convert to fraction form
    973.39/1,458.86 = 767.14/x
  3. Step 3: Cross multiply
    973.39x = 1,458.86 × 767.14
  4. Step 4: Simplify right side
    973.39x = 1,119,142.57
  5. Step 5: Solve for x
    x = 1,119,142.57/973.39
  6. Step 6: Final answer
    x = 1,149.74

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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.