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Finding the Fourth Proportional to 973.11, 1,458.14 and 562.44

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Solution

The fourth proportional to 973.11, 1,458.14 and 562.44 is: 842.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.11 : 1,458.14 = 562.44 : x
  2. Step 2: Convert to fraction form
    973.11/1,458.14 = 562.44/x
  3. Step 3: Cross multiply
    973.11x = 1,458.14 × 562.44
  4. Step 4: Simplify right side
    973.11x = 820,116.26
  5. Step 5: Solve for x
    x = 820,116.26/973.11
  6. Step 6: Final answer
    x = 842.78

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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.