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Finding the Fourth Proportional to 866.62, 1,302.36 and 434.08

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Solution

The fourth proportional to 866.62, 1,302.36 and 434.08 is: 652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.62 : 1,302.36 = 434.08 : x
  2. Step 2: Convert to fraction form
    866.62/1,302.36 = 434.08/x
  3. Step 3: Cross multiply
    866.62x = 1,302.36 × 434.08
  4. Step 4: Simplify right side
    866.62x = 565,328.43
  5. Step 5: Solve for x
    x = 565,328.43/866.62
  6. Step 6: Final answer
    x = 652.34

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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.