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Finding the Fourth Proportional to 955.55, 1,433 and 462.19

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Solution

The fourth proportional to 955.55, 1,433 and 462.19 is: 693.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.55 : 1,433 = 462.19 : x
  2. Step 2: Convert to fraction form
    955.55/1,433 = 462.19/x
  3. Step 3: Cross multiply
    955.55x = 1,433 × 462.19
  4. Step 4: Simplify right side
    955.55x = 662,318.27
  5. Step 5: Solve for x
    x = 662,318.27/955.55
  6. Step 6: Final answer
    x = 693.13

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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.