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Finding the Fourth Proportional to 735.74, 1,097.92 and 653.93

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Solution

The fourth proportional to 735.74, 1,097.92 and 653.93 is: 975.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.74 : 1,097.92 = 653.93 : x
  2. Step 2: Convert to fraction form
    735.74/1,097.92 = 653.93/x
  3. Step 3: Cross multiply
    735.74x = 1,097.92 × 653.93
  4. Step 4: Simplify right side
    735.74x = 717,955.70
  5. Step 5: Solve for x
    x = 717,955.70/735.74
  6. Step 6: Final answer
    x = 975.83

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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.