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Finding the Fourth Proportional to 973.09, 1,458.41 and 766.84

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Solution

The fourth proportional to 973.09, 1,458.41 and 766.84 is: 1,149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.09 : 1,458.41 = 766.84 : x
  2. Step 2: Convert to fraction form
    973.09/1,458.41 = 766.84/x
  3. Step 3: Cross multiply
    973.09x = 1,458.41 × 766.84
  4. Step 4: Simplify right side
    973.09x = 1,118,367.12
  5. Step 5: Solve for x
    x = 1,118,367.12/973.09
  6. Step 6: Final answer
    x = 1,149.29

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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.