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Finding the Fourth Proportional to 867.66, 1,300.77 and 405.20

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Solution

The fourth proportional to 867.66, 1,300.77 and 405.20 is: 607.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.66 : 1,300.77 = 405.20 : x
  2. Step 2: Convert to fraction form
    867.66/1,300.77 = 405.20/x
  3. Step 3: Cross multiply
    867.66x = 1,300.77 × 405.20
  4. Step 4: Simplify right side
    867.66x = 527,065.50
  5. Step 5: Solve for x
    x = 527,065.50/867.66
  6. Step 6: Final answer
    x = 607.46

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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.