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Finding the Fourth Proportional to 973.55, 1,343.79 and 595.59

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Solution

The fourth proportional to 973.55, 1,343.79 and 595.59 is: 822.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.55 : 1,343.79 = 595.59 : x
  2. Step 2: Convert to fraction form
    973.55/1,343.79 = 595.59/x
  3. Step 3: Cross multiply
    973.55x = 1,343.79 × 595.59
  4. Step 4: Simplify right side
    973.55x = 800,342.85
  5. Step 5: Solve for x
    x = 800,342.85/973.55
  6. Step 6: Final answer
    x = 822.08

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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.