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Finding the Fourth Proportional to 1,075.97, 1,614.56 and 460.15

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Solution

The fourth proportional to 1,075.97, 1,614.56 and 460.15 is: 690.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.97 : 1,614.56 = 460.15 : x
  2. Step 2: Convert to fraction form
    1,075.97/1,614.56 = 460.15/x
  3. Step 3: Cross multiply
    1,075.97x = 1,614.56 × 460.15
  4. Step 4: Simplify right side
    1,075.97x = 742,933.45
  5. Step 5: Solve for x
    x = 742,933.45/1,075.97
  6. Step 6: Final answer
    x = 690.48

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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.