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Finding the Fourth Proportional to 1,230.99, 1,846.57 and 500.46

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Solution

The fourth proportional to 1,230.99, 1,846.57 and 500.46 is: 750.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.99 : 1,846.57 = 500.46 : x
  2. Step 2: Convert to fraction form
    1,230.99/1,846.57 = 500.46/x
  3. Step 3: Cross multiply
    1,230.99x = 1,846.57 × 500.46
  4. Step 4: Simplify right side
    1,230.99x = 924,134.42
  5. Step 5: Solve for x
    x = 924,134.42/1,230.99
  6. Step 6: Final answer
    x = 750.72

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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.