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Finding the Fourth Proportional to 784.14, 1,082.10 and 469.44

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Solution

The fourth proportional to 784.14, 1,082.10 and 469.44 is: 647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.14 : 1,082.10 = 469.44 : x
  2. Step 2: Convert to fraction form
    784.14/1,082.10 = 469.44/x
  3. Step 3: Cross multiply
    784.14x = 1,082.10 × 469.44
  4. Step 4: Simplify right side
    784.14x = 507,981.02
  5. Step 5: Solve for x
    x = 507,981.02/784.14
  6. Step 6: Final answer
    x = 647.82

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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.