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Finding the Fourth Proportional to 1,405.33, 1,938.98 and 907.79

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Solution

The fourth proportional to 1,405.33, 1,938.98 and 907.79 is: 1,252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.33 : 1,938.98 = 907.79 : x
  2. Step 2: Convert to fraction form
    1,405.33/1,938.98 = 907.79/x
  3. Step 3: Cross multiply
    1,405.33x = 1,938.98 × 907.79
  4. Step 4: Simplify right side
    1,405.33x = 1,760,179.54
  5. Step 5: Solve for x
    x = 1,760,179.54/1,405.33
  6. Step 6: Final answer
    x = 1,252.50

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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.