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Finding the Fourth Proportional to 734.94, 1,013.78 and 455.46

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Solution

The fourth proportional to 734.94, 1,013.78 and 455.46 is: 628.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.94 : 1,013.78 = 455.46 : x
  2. Step 2: Convert to fraction form
    734.94/1,013.78 = 455.46/x
  3. Step 3: Cross multiply
    734.94x = 1,013.78 × 455.46
  4. Step 4: Simplify right side
    734.94x = 461,733.58
  5. Step 5: Solve for x
    x = 461,733.58/734.94
  6. Step 6: Final answer
    x = 628.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.