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Finding the Fourth Proportional to 1,150.59, 1,724.69 and 533.79

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Solution

The fourth proportional to 1,150.59, 1,724.69 and 533.79 is: 800.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.59 : 1,724.69 = 533.79 : x
  2. Step 2: Convert to fraction form
    1,150.59/1,724.69 = 533.79/x
  3. Step 3: Cross multiply
    1,150.59x = 1,724.69 × 533.79
  4. Step 4: Simplify right side
    1,150.59x = 920,619.61
  5. Step 5: Solve for x
    x = 920,619.61/1,150.59
  6. Step 6: Final answer
    x = 800.13

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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.