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Finding the Fourth Proportional to 1,322.90, 1,984.49 and 349.08

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Solution

The fourth proportional to 1,322.90, 1,984.49 and 349.08 is: 523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.90 : 1,984.49 = 349.08 : x
  2. Step 2: Convert to fraction form
    1,322.90/1,984.49 = 349.08/x
  3. Step 3: Cross multiply
    1,322.90x = 1,984.49 × 349.08
  4. Step 4: Simplify right side
    1,322.90x = 692,744.02
  5. Step 5: Solve for x
    x = 692,744.02/1,322.90
  6. Step 6: Final answer
    x = 523.66

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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.