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Finding the Fourth Proportional to 1,231.08, 1,845.81 and 501

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Solution

The fourth proportional to 1,231.08, 1,845.81 and 501 is: 751.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.08 : 1,845.81 = 501 : x
  2. Step 2: Convert to fraction form
    1,231.08/1,845.81 = 501/x
  3. Step 3: Cross multiply
    1,231.08x = 1,845.81 × 501
  4. Step 4: Simplify right side
    1,231.08x = 924,750.81
  5. Step 5: Solve for x
    x = 924,750.81/1,231.08
  6. Step 6: Final answer
    x = 751.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.