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Finding the Fourth Proportional to 1,136.07, 1,702.49 and 559.35

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Solution

The fourth proportional to 1,136.07, 1,702.49 and 559.35 is: 838.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.07 : 1,702.49 = 559.35 : x
  2. Step 2: Convert to fraction form
    1,136.07/1,702.49 = 559.35/x
  3. Step 3: Cross multiply
    1,136.07x = 1,702.49 × 559.35
  4. Step 4: Simplify right side
    1,136.07x = 952,284.98
  5. Step 5: Solve for x
    x = 952,284.98/1,136.07
  6. Step 6: Final answer
    x = 838.23

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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.