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Finding the Fourth Proportional to 867.97, 1,302.66 and 457.36

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Solution

The fourth proportional to 867.97, 1,302.66 and 457.36 is: 686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.97 : 1,302.66 = 457.36 : x
  2. Step 2: Convert to fraction form
    867.97/1,302.66 = 457.36/x
  3. Step 3: Cross multiply
    867.97x = 1,302.66 × 457.36
  4. Step 4: Simplify right side
    867.97x = 595,784.58
  5. Step 5: Solve for x
    x = 595,784.58/867.97
  6. Step 6: Final answer
    x = 686.41

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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.