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Finding the Fourth Proportional to 793.52, 1,095.36 and 710.48

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Solution

The fourth proportional to 793.52, 1,095.36 and 710.48 is: 980.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.52 : 1,095.36 = 710.48 : x
  2. Step 2: Convert to fraction form
    793.52/1,095.36 = 710.48/x
  3. Step 3: Cross multiply
    793.52x = 1,095.36 × 710.48
  4. Step 4: Simplify right side
    793.52x = 778,222.34
  5. Step 5: Solve for x
    x = 778,222.34/793.52
  6. Step 6: Final answer
    x = 980.73

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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.