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Finding the Fourth Proportional to 1,322.69, 1,984.15 and 348.80

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Solution

The fourth proportional to 1,322.69, 1,984.15 and 348.80 is: 523.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.69 : 1,984.15 = 348.80 : x
  2. Step 2: Convert to fraction form
    1,322.69/1,984.15 = 348.80/x
  3. Step 3: Cross multiply
    1,322.69x = 1,984.15 × 348.80
  4. Step 4: Simplify right side
    1,322.69x = 692,059.86
  5. Step 5: Solve for x
    x = 692,059.86/1,322.69
  6. Step 6: Final answer
    x = 523.22

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1.5x scale

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.