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Finding the Fourth Proportional to 841.96, 1,264.04 and 714.52

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Solution

The fourth proportional to 841.96, 1,264.04 and 714.52 is: 1,072.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.96 : 1,264.04 = 714.52 : x
  2. Step 2: Convert to fraction form
    841.96/1,264.04 = 714.52/x
  3. Step 3: Cross multiply
    841.96x = 1,264.04 × 714.52
  4. Step 4: Simplify right side
    841.96x = 903,181.86
  5. Step 5: Solve for x
    x = 903,181.86/841.96
  6. Step 6: Final answer
    x = 1,072.71

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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.