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Finding the Fourth Proportional to 1,153.02, 1,728.41 and 459.46

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Solution

The fourth proportional to 1,153.02, 1,728.41 and 459.46 is: 688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.02 : 1,728.41 = 459.46 : x
  2. Step 2: Convert to fraction form
    1,153.02/1,728.41 = 459.46/x
  3. Step 3: Cross multiply
    1,153.02x = 1,728.41 × 459.46
  4. Step 4: Simplify right side
    1,153.02x = 794,135.26
  5. Step 5: Solve for x
    x = 794,135.26/1,153.02
  6. Step 6: Final answer
    x = 688.74

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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.