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Finding the Fourth Proportional to 694.28, 1,041.68 and 420.56

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Solution

The fourth proportional to 694.28, 1,041.68 and 420.56 is: 631.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.28 : 1,041.68 = 420.56 : x
  2. Step 2: Convert to fraction form
    694.28/1,041.68 = 420.56/x
  3. Step 3: Cross multiply
    694.28x = 1,041.68 × 420.56
  4. Step 4: Simplify right side
    694.28x = 438,088.94
  5. Step 5: Solve for x
    x = 438,088.94/694.28
  6. Step 6: Final answer
    x = 631.00

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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.