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Finding the Fourth Proportional to 1,030, 1,541.58 and 823.61

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Solution

The fourth proportional to 1,030, 1,541.58 and 823.61 is: 1,232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030 : 1,541.58 = 823.61 : x
  2. Step 2: Convert to fraction form
    1,030/1,541.58 = 823.61/x
  3. Step 3: Cross multiply
    1,030x = 1,541.58 × 823.61
  4. Step 4: Simplify right side
    1,030x = 1,269,660.70
  5. Step 5: Solve for x
    x = 1,269,660.70/1,030
  6. Step 6: Final answer
    x = 1,232.68

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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.