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Finding the Fourth Proportional to 1,150.58, 1,724.90 and 500.88

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Solution

The fourth proportional to 1,150.58, 1,724.90 and 500.88 is: 750.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.58 : 1,724.90 = 500.88 : x
  2. Step 2: Convert to fraction form
    1,150.58/1,724.90 = 500.88/x
  3. Step 3: Cross multiply
    1,150.58x = 1,724.90 × 500.88
  4. Step 4: Simplify right side
    1,150.58x = 863,967.91
  5. Step 5: Solve for x
    x = 863,967.91/1,150.58
  6. Step 6: Final answer
    x = 750.90

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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.