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Finding the Fourth Proportional to 955.60, 1,433.22 and 407.83

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Solution

The fourth proportional to 955.60, 1,433.22 and 407.83 is: 611.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.60 : 1,433.22 = 407.83 : x
  2. Step 2: Convert to fraction form
    955.60/1,433.22 = 407.83/x
  3. Step 3: Cross multiply
    955.60x = 1,433.22 × 407.83
  4. Step 4: Simplify right side
    955.60x = 584,510.11
  5. Step 5: Solve for x
    x = 584,510.11/955.60
  6. Step 6: Final answer
    x = 611.67

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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.