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Finding the Fourth Proportional to 784.23, 1,081.92 and 485.34

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Solution

The fourth proportional to 784.23, 1,081.92 and 485.34 is: 669.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.23 : 1,081.92 = 485.34 : x
  2. Step 2: Convert to fraction form
    784.23/1,081.92 = 485.34/x
  3. Step 3: Cross multiply
    784.23x = 1,081.92 × 485.34
  4. Step 4: Simplify right side
    784.23x = 525,099.05
  5. Step 5: Solve for x
    x = 525,099.05/784.23
  6. Step 6: Final answer
    x = 669.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.