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Finding the Fourth Proportional to 1,271.73, 1,903.53 and 829.45

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Solution

The fourth proportional to 1,271.73, 1,903.53 and 829.45 is: 1,241.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.73 : 1,903.53 = 829.45 : x
  2. Step 2: Convert to fraction form
    1,271.73/1,903.53 = 829.45/x
  3. Step 3: Cross multiply
    1,271.73x = 1,903.53 × 829.45
  4. Step 4: Simplify right side
    1,271.73x = 1,578,877.74
  5. Step 5: Solve for x
    x = 1,578,877.74/1,271.73
  6. Step 6: Final answer
    x = 1,241.52

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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.