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Finding the Fourth Proportional to 690.81, 1,036.52 and 280.24

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Solution

The fourth proportional to 690.81, 1,036.52 and 280.24 is: 420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.81 : 1,036.52 = 280.24 : x
  2. Step 2: Convert to fraction form
    690.81/1,036.52 = 280.24/x
  3. Step 3: Cross multiply
    690.81x = 1,036.52 × 280.24
  4. Step 4: Simplify right side
    690.81x = 290,474.36
  5. Step 5: Solve for x
    x = 290,474.36/690.81
  6. Step 6: Final answer
    x = 420.48

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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.