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Finding the Fourth Proportional to 1,075.09, 1,612.78 and 416.95

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Solution

The fourth proportional to 1,075.09, 1,612.78 and 416.95 is: 625.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.09 : 1,612.78 = 416.95 : x
  2. Step 2: Convert to fraction form
    1,075.09/1,612.78 = 416.95/x
  3. Step 3: Cross multiply
    1,075.09x = 1,612.78 × 416.95
  4. Step 4: Simplify right side
    1,075.09x = 672,448.62
  5. Step 5: Solve for x
    x = 672,448.62/1,075.09
  6. Step 6: Final answer
    x = 625.48

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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.