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Finding the Fourth Proportional to 959.04, 1,438.62 and 411.23

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Solution

The fourth proportional to 959.04, 1,438.62 and 411.23 is: 616.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.04 : 1,438.62 = 411.23 : x
  2. Step 2: Convert to fraction form
    959.04/1,438.62 = 411.23/x
  3. Step 3: Cross multiply
    959.04x = 1,438.62 × 411.23
  4. Step 4: Simplify right side
    959.04x = 591,596.51
  5. Step 5: Solve for x
    x = 591,596.51/959.04
  6. Step 6: Final answer
    x = 616.86

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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.