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Finding the Fourth Proportional to 1,075.09, 1,614.09 and 555.52

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Solution

The fourth proportional to 1,075.09, 1,614.09 and 555.52 is: 834.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.09 : 1,614.09 = 555.52 : x
  2. Step 2: Convert to fraction form
    1,075.09/1,614.09 = 555.52/x
  3. Step 3: Cross multiply
    1,075.09x = 1,614.09 × 555.52
  4. Step 4: Simplify right side
    1,075.09x = 896,659.28
  5. Step 5: Solve for x
    x = 896,659.28/1,075.09
  6. Step 6: Final answer
    x = 834.03

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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.