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Finding the Fourth Proportional to 713.86, 1,070.16 and 251.35

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Solution

The fourth proportional to 713.86, 1,070.16 and 251.35 is: 376.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.86 : 1,070.16 = 251.35 : x
  2. Step 2: Convert to fraction form
    713.86/1,070.16 = 251.35/x
  3. Step 3: Cross multiply
    713.86x = 1,070.16 × 251.35
  4. Step 4: Simplify right side
    713.86x = 268,984.72
  5. Step 5: Solve for x
    x = 268,984.72/713.86
  6. Step 6: Final answer
    x = 376.80

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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.