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Finding the Fourth Proportional to 1,501.50, 2,072.10 and 829.35

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Solution

The fourth proportional to 1,501.50, 2,072.10 and 829.35 is: 1,144.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.50 : 2,072.10 = 829.35 : x
  2. Step 2: Convert to fraction form
    1,501.50/2,072.10 = 829.35/x
  3. Step 3: Cross multiply
    1,501.50x = 2,072.10 × 829.35
  4. Step 4: Simplify right side
    1,501.50x = 1,718,496.14
  5. Step 5: Solve for x
    x = 1,718,496.14/1,501.50
  6. Step 6: Final answer
    x = 1,144.52

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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.