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Finding the Fourth Proportional to 973.74, 1,343.31 and 559.50

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Solution

The fourth proportional to 973.74, 1,343.31 and 559.50 is: 771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.74 : 1,343.31 = 559.50 : x
  2. Step 2: Convert to fraction form
    973.74/1,343.31 = 559.50/x
  3. Step 3: Cross multiply
    973.74x = 1,343.31 × 559.50
  4. Step 4: Simplify right side
    973.74x = 751,581.95
  5. Step 5: Solve for x
    x = 751,581.95/973.74
  6. Step 6: Final answer
    x = 771.85

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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.