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Finding the Fourth Proportional to 973.10, 1,449.82 and 926.66

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Solution

The fourth proportional to 973.10, 1,449.82 and 926.66 is: 1,380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.10 : 1,449.82 = 926.66 : x
  2. Step 2: Convert to fraction form
    973.10/1,449.82 = 926.66/x
  3. Step 3: Cross multiply
    973.10x = 1,449.82 × 926.66
  4. Step 4: Simplify right side
    973.10x = 1,343,494.98
  5. Step 5: Solve for x
    x = 1,343,494.98/973.10
  6. Step 6: Final answer
    x = 1,380.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.