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Finding the Fourth Proportional to 784.69, 1,081.63 and 618.64

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Solution

The fourth proportional to 784.69, 1,081.63 and 618.64 is: 852.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.69 : 1,081.63 = 618.64 : x
  2. Step 2: Convert to fraction form
    784.69/1,081.63 = 618.64/x
  3. Step 3: Cross multiply
    784.69x = 1,081.63 × 618.64
  4. Step 4: Simplify right side
    784.69x = 669,139.58
  5. Step 5: Solve for x
    x = 669,139.58/784.69
  6. Step 6: Final answer
    x = 852.74

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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.