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Finding the Fourth Proportional to 784.03, 1,081.09 and 535.49

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Solution

The fourth proportional to 784.03, 1,081.09 and 535.49 is: 738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.03 : 1,081.09 = 535.49 : x
  2. Step 2: Convert to fraction form
    784.03/1,081.09 = 535.49/x
  3. Step 3: Cross multiply
    784.03x = 1,081.09 × 535.49
  4. Step 4: Simplify right side
    784.03x = 578,912.88
  5. Step 5: Solve for x
    x = 578,912.88/784.03
  6. Step 6: Final answer
    x = 738.38

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Double scale
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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.