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Finding the Fourth Proportional to 953.93, 1,427.66 and 800.03

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Solution

The fourth proportional to 953.93, 1,427.66 and 800.03 is: 1,197.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.93 : 1,427.66 = 800.03 : x
  2. Step 2: Convert to fraction form
    953.93/1,427.66 = 800.03/x
  3. Step 3: Cross multiply
    953.93x = 1,427.66 × 800.03
  4. Step 4: Simplify right side
    953.93x = 1,142,170.40
  5. Step 5: Solve for x
    x = 1,142,170.40/953.93
  6. Step 6: Final answer
    x = 1,197.33

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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.