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Finding the Fourth Proportional to 713.68, 1,070.82 and 275.07

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Solution

The fourth proportional to 713.68, 1,070.82 and 275.07 is: 412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.68 : 1,070.82 = 275.07 : x
  2. Step 2: Convert to fraction form
    713.68/1,070.82 = 275.07/x
  3. Step 3: Cross multiply
    713.68x = 1,070.82 × 275.07
  4. Step 4: Simplify right side
    713.68x = 294,550.46
  5. Step 5: Solve for x
    x = 294,550.46/713.68
  6. Step 6: Final answer
    x = 412.72

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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.