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Finding the Fourth Proportional to 1,230.36, 1,846.14 and 500.14

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Solution

The fourth proportional to 1,230.36, 1,846.14 and 500.14 is: 750.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.36 : 1,846.14 = 500.14 : x
  2. Step 2: Convert to fraction form
    1,230.36/1,846.14 = 500.14/x
  3. Step 3: Cross multiply
    1,230.36x = 1,846.14 × 500.14
  4. Step 4: Simplify right side
    1,230.36x = 923,328.46
  5. Step 5: Solve for x
    x = 923,328.46/1,230.36
  6. Step 6: Final answer
    x = 750.45

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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.