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Finding the Fourth Proportional to 784.20, 1,082.19 and 434.89

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Solution

The fourth proportional to 784.20, 1,082.19 and 434.89 is: 600.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.20 : 1,082.19 = 434.89 : x
  2. Step 2: Convert to fraction form
    784.20/1,082.19 = 434.89/x
  3. Step 3: Cross multiply
    784.20x = 1,082.19 × 434.89
  4. Step 4: Simplify right side
    784.20x = 470,628.06
  5. Step 5: Solve for x
    x = 470,628.06/784.20
  6. Step 6: Final answer
    x = 600.14

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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.