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Finding the Fourth Proportional to 735.93, 1,014.26 and 714.87

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Solution

The fourth proportional to 735.93, 1,014.26 and 714.87 is: 985.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.93 : 1,014.26 = 714.87 : x
  2. Step 2: Convert to fraction form
    735.93/1,014.26 = 714.87/x
  3. Step 3: Cross multiply
    735.93x = 1,014.26 × 714.87
  4. Step 4: Simplify right side
    735.93x = 725,060.47
  5. Step 5: Solve for x
    x = 725,060.47/735.93
  6. Step 6: Final answer
    x = 985.23

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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.