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Finding the Fourth Proportional to 1,153.34, 1,728.46 and 632.56

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Solution

The fourth proportional to 1,153.34, 1,728.46 and 632.56 is: 947.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.34 : 1,728.46 = 632.56 : x
  2. Step 2: Convert to fraction form
    1,153.34/1,728.46 = 632.56/x
  3. Step 3: Cross multiply
    1,153.34x = 1,728.46 × 632.56
  4. Step 4: Simplify right side
    1,153.34x = 1,093,354.66
  5. Step 5: Solve for x
    x = 1,093,354.66/1,153.34
  6. Step 6: Final answer
    x = 947.99

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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.