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Finding the Fourth Proportional to 1,269.22, 1,907.01 and 807.19

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Solution

The fourth proportional to 1,269.22, 1,907.01 and 807.19 is: 1,212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.22 : 1,907.01 = 807.19 : x
  2. Step 2: Convert to fraction form
    1,269.22/1,907.01 = 807.19/x
  3. Step 3: Cross multiply
    1,269.22x = 1,907.01 × 807.19
  4. Step 4: Simplify right side
    1,269.22x = 1,539,319.40
  5. Step 5: Solve for x
    x = 1,539,319.40/1,269.22
  6. Step 6: Final answer
    x = 1,212.81

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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.