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Finding the Fourth Proportional to 784.96, 1,083.08 and 474.40

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Solution

The fourth proportional to 784.96, 1,083.08 and 474.40 is: 654.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.96 : 1,083.08 = 474.40 : x
  2. Step 2: Convert to fraction form
    784.96/1,083.08 = 474.40/x
  3. Step 3: Cross multiply
    784.96x = 1,083.08 × 474.40
  4. Step 4: Simplify right side
    784.96x = 513,813.15
  5. Step 5: Solve for x
    x = 513,813.15/784.96
  6. Step 6: Final answer
    x = 654.57

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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.