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Finding the Fourth Proportional to 841.07, 1,261.86 and 430.49

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Solution

The fourth proportional to 841.07, 1,261.86 and 430.49 is: 645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.07 : 1,261.86 = 430.49 : x
  2. Step 2: Convert to fraction form
    841.07/1,261.86 = 430.49/x
  3. Step 3: Cross multiply
    841.07x = 1,261.86 × 430.49
  4. Step 4: Simplify right side
    841.07x = 543,215.96
  5. Step 5: Solve for x
    x = 543,215.96/841.07
  6. Step 6: Final answer
    x = 645.87

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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.