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Finding the Fourth Proportional to 1,207.04, 1,810.77 and 427.49

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Solution

The fourth proportional to 1,207.04, 1,810.77 and 427.49 is: 641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.04 : 1,810.77 = 427.49 : x
  2. Step 2: Convert to fraction form
    1,207.04/1,810.77 = 427.49/x
  3. Step 3: Cross multiply
    1,207.04x = 1,810.77 × 427.49
  4. Step 4: Simplify right side
    1,207.04x = 774,085.35
  5. Step 5: Solve for x
    x = 774,085.35/1,207.04
  6. Step 6: Final answer
    x = 641.31

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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.