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Finding the Fourth Proportional to 1,326.44, 1,830.66 and 907.22

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Solution

The fourth proportional to 1,326.44, 1,830.66 and 907.22 is: 1,252.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.44 : 1,830.66 = 907.22 : x
  2. Step 2: Convert to fraction form
    1,326.44/1,830.66 = 907.22/x
  3. Step 3: Cross multiply
    1,326.44x = 1,830.66 × 907.22
  4. Step 4: Simplify right side
    1,326.44x = 1,660,811.37
  5. Step 5: Solve for x
    x = 1,660,811.37/1,326.44
  6. Step 6: Final answer
    x = 1,252.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.