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Finding the Fourth Proportional to 1,504.26, 2,075.86 and 914.98

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Solution

The fourth proportional to 1,504.26, 2,075.86 and 914.98 is: 1,262.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.26 : 2,075.86 = 914.98 : x
  2. Step 2: Convert to fraction form
    1,504.26/2,075.86 = 914.98/x
  3. Step 3: Cross multiply
    1,504.26x = 2,075.86 × 914.98
  4. Step 4: Simplify right side
    1,504.26x = 1,899,370.38
  5. Step 5: Solve for x
    x = 1,899,370.38/1,504.26
  6. Step 6: Final answer
    x = 1,262.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.