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Finding the Fourth Proportional to 818.63, 1,130.79 and 661.85

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Solution

The fourth proportional to 818.63, 1,130.79 and 661.85 is: 914.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.63 : 1,130.79 = 661.85 : x
  2. Step 2: Convert to fraction form
    818.63/1,130.79 = 661.85/x
  3. Step 3: Cross multiply
    818.63x = 1,130.79 × 661.85
  4. Step 4: Simplify right side
    818.63x = 748,413.36
  5. Step 5: Solve for x
    x = 748,413.36/818.63
  6. Step 6: Final answer
    x = 914.23

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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.