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Finding the Fourth Proportional to 687.08, 1,030.79 and 276.28

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Solution

The fourth proportional to 687.08, 1,030.79 and 276.28 is: 414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.08 : 1,030.79 = 276.28 : x
  2. Step 2: Convert to fraction form
    687.08/1,030.79 = 276.28/x
  3. Step 3: Cross multiply
    687.08x = 1,030.79 × 276.28
  4. Step 4: Simplify right side
    687.08x = 284,784.77
  5. Step 5: Solve for x
    x = 284,784.77/687.08
  6. Step 6: Final answer
    x = 414.48

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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.