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Finding the Fourth Proportional to 1,194.68, 1,790.58 and 543.98

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Solution

The fourth proportional to 1,194.68, 1,790.58 and 543.98 is: 815.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.68 : 1,790.58 = 543.98 : x
  2. Step 2: Convert to fraction form
    1,194.68/1,790.58 = 543.98/x
  3. Step 3: Cross multiply
    1,194.68x = 1,790.58 × 543.98
  4. Step 4: Simplify right side
    1,194.68x = 974,039.71
  5. Step 5: Solve for x
    x = 974,039.71/1,194.68
  6. Step 6: Final answer
    x = 815.31

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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.