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Finding the Fourth Proportional to 735.04, 1,097.30 and 709.39

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Solution

The fourth proportional to 735.04, 1,097.30 and 709.39 is: 1,059.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.04 : 1,097.30 = 709.39 : x
  2. Step 2: Convert to fraction form
    735.04/1,097.30 = 709.39/x
  3. Step 3: Cross multiply
    735.04x = 1,097.30 × 709.39
  4. Step 4: Simplify right side
    735.04x = 778,413.65
  5. Step 5: Solve for x
    x = 778,413.65/735.04
  6. Step 6: Final answer
    x = 1,059.01

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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.