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Finding the Fourth Proportional to 973.11, 1,342.51 and 599.44

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Solution

The fourth proportional to 973.11, 1,342.51 and 599.44 is: 826.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.11 : 1,342.51 = 599.44 : x
  2. Step 2: Convert to fraction form
    973.11/1,342.51 = 599.44/x
  3. Step 3: Cross multiply
    973.11x = 1,342.51 × 599.44
  4. Step 4: Simplify right side
    973.11x = 804,756.62
  5. Step 5: Solve for x
    x = 804,756.62/973.11
  6. Step 6: Final answer
    x = 826.99

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