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Finding the Fourth Proportional to 867.78, 1,301.06 and 405.31

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Solution

The fourth proportional to 867.78, 1,301.06 and 405.31 is: 607.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.78 : 1,301.06 = 405.31 : x
  2. Step 2: Convert to fraction form
    867.78/1,301.06 = 405.31/x
  3. Step 3: Cross multiply
    867.78x = 1,301.06 × 405.31
  4. Step 4: Simplify right side
    867.78x = 527,332.63
  5. Step 5: Solve for x
    x = 527,332.63/867.78
  6. Step 6: Final answer
    x = 607.68

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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.