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Finding the Fourth Proportional to 1,075.78, 1,614.08 and 498.25

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Solution

The fourth proportional to 1,075.78, 1,614.08 and 498.25 is: 747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.78 : 1,614.08 = 498.25 : x
  2. Step 2: Convert to fraction form
    1,075.78/1,614.08 = 498.25/x
  3. Step 3: Cross multiply
    1,075.78x = 1,614.08 × 498.25
  4. Step 4: Simplify right side
    1,075.78x = 804,215.36
  5. Step 5: Solve for x
    x = 804,215.36/1,075.78
  6. Step 6: Final answer
    x = 747.56

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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.