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Finding the Fourth Proportional to 841.32, 1,262.14 and 293.64

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Solution

The fourth proportional to 841.32, 1,262.14 and 293.64 is: 440.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.32 : 1,262.14 = 293.64 : x
  2. Step 2: Convert to fraction form
    841.32/1,262.14 = 293.64/x
  3. Step 3: Cross multiply
    841.32x = 1,262.14 × 293.64
  4. Step 4: Simplify right side
    841.32x = 370,614.79
  5. Step 5: Solve for x
    x = 370,614.79/841.32
  6. Step 6: Final answer
    x = 440.52

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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.