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Finding the Fourth Proportional to 784.61, 1,082.58 and 469.83

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Solution

The fourth proportional to 784.61, 1,082.58 and 469.83 is: 648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.61 : 1,082.58 = 469.83 : x
  2. Step 2: Convert to fraction form
    784.61/1,082.58 = 469.83/x
  3. Step 3: Cross multiply
    784.61x = 1,082.58 × 469.83
  4. Step 4: Simplify right side
    784.61x = 508,620.80
  5. Step 5: Solve for x
    x = 508,620.80/784.61
  6. Step 6: Final answer
    x = 648.25

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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.