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Finding the Fourth Proportional to 1,075.94, 1,614.28 and 345.54

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Solution

The fourth proportional to 1,075.94, 1,614.28 and 345.54 is: 518.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.94 : 1,614.28 = 345.54 : x
  2. Step 2: Convert to fraction form
    1,075.94/1,614.28 = 345.54/x
  3. Step 3: Cross multiply
    1,075.94x = 1,614.28 × 345.54
  4. Step 4: Simplify right side
    1,075.94x = 557,798.31
  5. Step 5: Solve for x
    x = 557,798.31/1,075.94
  6. Step 6: Final answer
    x = 518.43

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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.