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Finding the Fourth Proportional to 955.49, 1,430.46 and 492.17

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Solution

The fourth proportional to 955.49, 1,430.46 and 492.17 is: 736.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.49 : 1,430.46 = 492.17 : x
  2. Step 2: Convert to fraction form
    955.49/1,430.46 = 492.17/x
  3. Step 3: Cross multiply
    955.49x = 1,430.46 × 492.17
  4. Step 4: Simplify right side
    955.49x = 704,022.35
  5. Step 5: Solve for x
    x = 704,022.35/955.49
  6. Step 6: Final answer
    x = 736.82

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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.