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Finding the Fourth Proportional to 973.46, 1,343.35 and 531.34

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Solution

The fourth proportional to 973.46, 1,343.35 and 531.34 is: 733.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.46 : 1,343.35 = 531.34 : x
  2. Step 2: Convert to fraction form
    973.46/1,343.35 = 531.34/x
  3. Step 3: Cross multiply
    973.46x = 1,343.35 × 531.34
  4. Step 4: Simplify right side
    973.46x = 713,770.90
  5. Step 5: Solve for x
    x = 713,770.90/973.46
  6. Step 6: Final answer
    x = 733.23

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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.