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Finding the Fourth Proportional to 784.23, 1,082.25 and 434.93

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Solution

The fourth proportional to 784.23, 1,082.25 and 434.93 is: 600.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.23 : 1,082.25 = 434.93 : x
  2. Step 2: Convert to fraction form
    784.23/1,082.25 = 434.93/x
  3. Step 3: Cross multiply
    784.23x = 1,082.25 × 434.93
  4. Step 4: Simplify right side
    784.23x = 470,697.58
  5. Step 5: Solve for x
    x = 470,697.58/784.23
  6. Step 6: Final answer
    x = 600.20

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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.