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Finding the Fourth Proportional to 959.50, 1,431.37 and 925.84

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Solution

The fourth proportional to 959.50, 1,431.37 and 925.84 is: 1,381.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.50 : 1,431.37 = 925.84 : x
  2. Step 2: Convert to fraction form
    959.50/1,431.37 = 925.84/x
  3. Step 3: Cross multiply
    959.50x = 1,431.37 × 925.84
  4. Step 4: Simplify right side
    959.50x = 1,325,219.60
  5. Step 5: Solve for x
    x = 1,325,219.60/959.50
  6. Step 6: Final answer
    x = 1,381.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.