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Finding the Fourth Proportional to 959.70, 1,438.62 and 412.02

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Solution

The fourth proportional to 959.70, 1,438.62 and 412.02 is: 617.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.70 : 1,438.62 = 412.02 : x
  2. Step 2: Convert to fraction form
    959.70/1,438.62 = 412.02/x
  3. Step 3: Cross multiply
    959.70x = 1,438.62 × 412.02
  4. Step 4: Simplify right side
    959.70x = 592,740.21
  5. Step 5: Solve for x
    x = 592,740.21/959.70
  6. Step 6: Final answer
    x = 617.63

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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.