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Finding the Fourth Proportional to 735.58, 1,095.93 and 698.86

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Solution

The fourth proportional to 735.58, 1,095.93 and 698.86 is: 1,041.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.58 : 1,095.93 = 698.86 : x
  2. Step 2: Convert to fraction form
    735.58/1,095.93 = 698.86/x
  3. Step 3: Cross multiply
    735.58x = 1,095.93 × 698.86
  4. Step 4: Simplify right side
    735.58x = 765,901.64
  5. Step 5: Solve for x
    x = 765,901.64/735.58
  6. Step 6: Final answer
    x = 1,041.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.