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Finding the Fourth Proportional to 1,289.67, 1,937.58 and 828.35

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Solution

The fourth proportional to 1,289.67, 1,937.58 and 828.35 is: 1,244.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.67 : 1,937.58 = 828.35 : x
  2. Step 2: Convert to fraction form
    1,289.67/1,937.58 = 828.35/x
  3. Step 3: Cross multiply
    1,289.67x = 1,937.58 × 828.35
  4. Step 4: Simplify right side
    1,289.67x = 1,604,984.71
  5. Step 5: Solve for x
    x = 1,604,984.71/1,289.67
  6. Step 6: Final answer
    x = 1,244.49

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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.