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Finding the Fourth Proportional to 1,323.28, 1,984.86 and 457.66

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Solution

The fourth proportional to 1,323.28, 1,984.86 and 457.66 is: 686.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.28 : 1,984.86 = 457.66 : x
  2. Step 2: Convert to fraction form
    1,323.28/1,984.86 = 457.66/x
  3. Step 3: Cross multiply
    1,323.28x = 1,984.86 × 457.66
  4. Step 4: Simplify right side
    1,323.28x = 908,391.03
  5. Step 5: Solve for x
    x = 908,391.03/1,323.28
  6. Step 6: Final answer
    x = 686.47

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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.