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Finding the Fourth Proportional to 1,150.23, 1,725.36 and 533.76

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Solution

The fourth proportional to 1,150.23, 1,725.36 and 533.76 is: 800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.23 : 1,725.36 = 533.76 : x
  2. Step 2: Convert to fraction form
    1,150.23/1,725.36 = 533.76/x
  3. Step 3: Cross multiply
    1,150.23x = 1,725.36 × 533.76
  4. Step 4: Simplify right side
    1,150.23x = 920,928.15
  5. Step 5: Solve for x
    x = 920,928.15/1,150.23
  6. Step 6: Final answer
    x = 800.65

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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.