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Finding the Fourth Proportional to 1,804.74, 2,707.28 and 709.18

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Solution

The fourth proportional to 1,804.74, 2,707.28 and 709.18 is: 1,063.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.74 : 2,707.28 = 709.18 : x
  2. Step 2: Convert to fraction form
    1,804.74/2,707.28 = 709.18/x
  3. Step 3: Cross multiply
    1,804.74x = 2,707.28 × 709.18
  4. Step 4: Simplify right side
    1,804.74x = 1,919,948.83
  5. Step 5: Solve for x
    x = 1,919,948.83/1,804.74
  6. Step 6: Final answer
    x = 1,063.84

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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.