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Finding the Fourth Proportional to 973, 1,459.82 and 395.56

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Solution

The fourth proportional to 973, 1,459.82 and 395.56 is: 593.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    973 : 1,459.82 = 395.56 : x
  2. Step 2: Convert to fraction form
    973/1,459.82 = 395.56/x
  3. Step 3: Cross multiply
    973x = 1,459.82 × 395.56
  4. Step 4: Simplify right side
    973x = 577,446.40
  5. Step 5: Solve for x
    x = 577,446.40/973
  6. Step 6: Final answer
    x = 593.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.