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Finding the Fourth Proportional to 864.63, 1,295.82 and 402.30

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Solution

The fourth proportional to 864.63, 1,295.82 and 402.30 is: 602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.63 : 1,295.82 = 402.30 : x
  2. Step 2: Convert to fraction form
    864.63/1,295.82 = 402.30/x
  3. Step 3: Cross multiply
    864.63x = 1,295.82 × 402.30
  4. Step 4: Simplify right side
    864.63x = 521,308.39
  5. Step 5: Solve for x
    x = 521,308.39/864.63
  6. Step 6: Final answer
    x = 602.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.