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Finding the Fourth Proportional to 1,247.43, 1,871.08 and 322.99

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Solution

The fourth proportional to 1,247.43, 1,871.08 and 322.99 is: 484.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.43 : 1,871.08 = 322.99 : x
  2. Step 2: Convert to fraction form
    1,247.43/1,871.08 = 322.99/x
  3. Step 3: Cross multiply
    1,247.43x = 1,871.08 × 322.99
  4. Step 4: Simplify right side
    1,247.43x = 604,334.64
  5. Step 5: Solve for x
    x = 604,334.64/1,247.43
  6. Step 6: Final answer
    x = 484.46

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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.