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Finding the Fourth Proportional to 1,406.88, 1,938.60 and 1,075.32

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Solution

The fourth proportional to 1,406.88, 1,938.60 and 1,075.32 is: 1,481.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.88 : 1,938.60 = 1,075.32 : x
  2. Step 2: Convert to fraction form
    1,406.88/1,938.60 = 1,075.32/x
  3. Step 3: Cross multiply
    1,406.88x = 1,938.60 × 1,075.32
  4. Step 4: Simplify right side
    1,406.88x = 2,084,615.35
  5. Step 5: Solve for x
    x = 2,084,615.35/1,406.88
  6. Step 6: Final answer
    x = 1,481.73

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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.