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Finding the Fourth Proportional to 1,190.04, 1,782.36 and 574.19

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Solution

The fourth proportional to 1,190.04, 1,782.36 and 574.19 is: 859.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.04 : 1,782.36 = 574.19 : x
  2. Step 2: Convert to fraction form
    1,190.04/1,782.36 = 574.19/x
  3. Step 3: Cross multiply
    1,190.04x = 1,782.36 × 574.19
  4. Step 4: Simplify right side
    1,190.04x = 1,023,413.29
  5. Step 5: Solve for x
    x = 1,023,413.29/1,190.04
  6. Step 6: Final answer
    x = 859.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.