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Finding the Fourth Proportional to 973.82, 1,344.40 and 595.96

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Solution

The fourth proportional to 973.82, 1,344.40 and 595.96 is: 822.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.82 : 1,344.40 = 595.96 : x
  2. Step 2: Convert to fraction form
    973.82/1,344.40 = 595.96/x
  3. Step 3: Cross multiply
    973.82x = 1,344.40 × 595.96
  4. Step 4: Simplify right side
    973.82x = 801,203.77
  5. Step 5: Solve for x
    x = 801,203.77/973.82
  6. Step 6: Final answer
    x = 822.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.