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Finding the Fourth Proportional to 867.70, 1,301.09 and 428.93

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Solution

The fourth proportional to 867.70, 1,301.09 and 428.93 is: 643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.70 : 1,301.09 = 428.93 : x
  2. Step 2: Convert to fraction form
    867.70/1,301.09 = 428.93/x
  3. Step 3: Cross multiply
    867.70x = 1,301.09 × 428.93
  4. Step 4: Simplify right side
    867.70x = 558,076.53
  5. Step 5: Solve for x
    x = 558,076.53/867.70
  6. Step 6: Final answer
    x = 643.17

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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.