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Finding the Fourth Proportional to 955.02, 1,433.07 and 746.20

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Solution

The fourth proportional to 955.02, 1,433.07 and 746.20 is: 1,119.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.02 : 1,433.07 = 746.20 : x
  2. Step 2: Convert to fraction form
    955.02/1,433.07 = 746.20/x
  3. Step 3: Cross multiply
    955.02x = 1,433.07 × 746.20
  4. Step 4: Simplify right side
    955.02x = 1,069,356.83
  5. Step 5: Solve for x
    x = 1,069,356.83/955.02
  6. Step 6: Final answer
    x = 1,119.72

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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.