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Finding the Fourth Proportional to 713.98, 1,070.36 and 274.98

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Solution

The fourth proportional to 713.98, 1,070.36 and 274.98 is: 412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.98 : 1,070.36 = 274.98 : x
  2. Step 2: Convert to fraction form
    713.98/1,070.36 = 274.98/x
  3. Step 3: Cross multiply
    713.98x = 1,070.36 × 274.98
  4. Step 4: Simplify right side
    713.98x = 294,327.59
  5. Step 5: Solve for x
    x = 294,327.59/713.98
  6. Step 6: Final answer
    x = 412.24

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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.