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Finding the Fourth Proportional to 1,152.77, 1,728.45 and 459.54

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Solution

The fourth proportional to 1,152.77, 1,728.45 and 459.54 is: 689.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.77 : 1,728.45 = 459.54 : x
  2. Step 2: Convert to fraction form
    1,152.77/1,728.45 = 459.54/x
  3. Step 3: Cross multiply
    1,152.77x = 1,728.45 × 459.54
  4. Step 4: Simplify right side
    1,152.77x = 794,291.91
  5. Step 5: Solve for x
    x = 794,291.91/1,152.77
  6. Step 6: Final answer
    x = 689.03

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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.