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Finding the Fourth Proportional to 841.55, 1,262.16 and 293.74

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Solution

The fourth proportional to 841.55, 1,262.16 and 293.74 is: 440.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.55 : 1,262.16 = 293.74 : x
  2. Step 2: Convert to fraction form
    841.55/1,262.16 = 293.74/x
  3. Step 3: Cross multiply
    841.55x = 1,262.16 × 293.74
  4. Step 4: Simplify right side
    841.55x = 370,746.88
  5. Step 5: Solve for x
    x = 370,746.88/841.55
  6. Step 6: Final answer
    x = 440.55

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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.