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Finding the Fourth Proportional to 846.98, 1,270.06 and 456.90

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Solution

The fourth proportional to 846.98, 1,270.06 and 456.90 is: 685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.98 : 1,270.06 = 456.90 : x
  2. Step 2: Convert to fraction form
    846.98/1,270.06 = 456.90/x
  3. Step 3: Cross multiply
    846.98x = 1,270.06 × 456.90
  4. Step 4: Simplify right side
    846.98x = 580,290.41
  5. Step 5: Solve for x
    x = 580,290.41/846.98
  6. Step 6: Final answer
    x = 685.13

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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.