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Finding the Fourth Proportional to 1,093.34, 1,631.55 and 976.53

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Solution

The fourth proportional to 1,093.34, 1,631.55 and 976.53 is: 1,457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.34 : 1,631.55 = 976.53 : x
  2. Step 2: Convert to fraction form
    1,093.34/1,631.55 = 976.53/x
  3. Step 3: Cross multiply
    1,093.34x = 1,631.55 × 976.53
  4. Step 4: Simplify right side
    1,093.34x = 1,593,257.52
  5. Step 5: Solve for x
    x = 1,593,257.52/1,093.34
  6. Step 6: Final answer
    x = 1,457.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.