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Finding the Fourth Proportional to 1,804.77, 2,707.15 and 436.77

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Solution

The fourth proportional to 1,804.77, 2,707.15 and 436.77 is: 655.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.77 : 2,707.15 = 436.77 : x
  2. Step 2: Convert to fraction form
    1,804.77/2,707.15 = 436.77/x
  3. Step 3: Cross multiply
    1,804.77x = 2,707.15 × 436.77
  4. Step 4: Simplify right side
    1,804.77x = 1,182,388.37
  5. Step 5: Solve for x
    x = 1,182,388.37/1,804.77
  6. Step 6: Final answer
    x = 655.15

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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.