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Finding the Fourth Proportional to 1,231.15, 1,846.65 and 500.53

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Solution

The fourth proportional to 1,231.15, 1,846.65 and 500.53 is: 750.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.15 : 1,846.65 = 500.53 : x
  2. Step 2: Convert to fraction form
    1,231.15/1,846.65 = 500.53/x
  3. Step 3: Cross multiply
    1,231.15x = 1,846.65 × 500.53
  4. Step 4: Simplify right side
    1,231.15x = 924,303.72
  5. Step 5: Solve for x
    x = 924,303.72/1,231.15
  6. Step 6: Final answer
    x = 750.76

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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.