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Finding the Fourth Proportional to 973.98, 1,344.06 and 595.80

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Solution

The fourth proportional to 973.98, 1,344.06 and 595.80 is: 822.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.98 : 1,344.06 = 595.80 : x
  2. Step 2: Convert to fraction form
    973.98/1,344.06 = 595.80/x
  3. Step 3: Cross multiply
    973.98x = 1,344.06 × 595.80
  4. Step 4: Simplify right side
    973.98x = 800,790.95
  5. Step 5: Solve for x
    x = 800,790.95/973.98
  6. Step 6: Final answer
    x = 822.18

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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.