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Finding the Fourth Proportional to 1,804.64, 2,707.95 and 765.23

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Solution

The fourth proportional to 1,804.64, 2,707.95 and 765.23 is: 1,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.64 : 2,707.95 = 765.23 : x
  2. Step 2: Convert to fraction form
    1,804.64/2,707.95 = 765.23/x
  3. Step 3: Cross multiply
    1,804.64x = 2,707.95 × 765.23
  4. Step 4: Simplify right side
    1,804.64x = 2,072,204.58
  5. Step 5: Solve for x
    x = 2,072,204.58/1,804.64
  6. Step 6: Final answer
    x = 1,148.26

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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.