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Finding the Fourth Proportional to 840, 1,259.64 and 449.94

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Solution

The fourth proportional to 840, 1,259.64 and 449.94 is: 674.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    840 : 1,259.64 = 449.94 : x
  2. Step 2: Convert to fraction form
    840/1,259.64 = 449.94/x
  3. Step 3: Cross multiply
    840x = 1,259.64 × 449.94
  4. Step 4: Simplify right side
    840x = 566,762.42
  5. Step 5: Solve for x
    x = 566,762.42/840
  6. Step 6: Final answer
    x = 674.72

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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.