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Finding the Fourth Proportional to 1,137.50, 1,706.49 and 453.50

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Solution

The fourth proportional to 1,137.50, 1,706.49 and 453.50 is: 680.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.50 : 1,706.49 = 453.50 : x
  2. Step 2: Convert to fraction form
    1,137.50/1,706.49 = 453.50/x
  3. Step 3: Cross multiply
    1,137.50x = 1,706.49 × 453.50
  4. Step 4: Simplify right side
    1,137.50x = 773,893.22
  5. Step 5: Solve for x
    x = 773,893.22/1,137.50
  6. Step 6: Final answer
    x = 680.35

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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.