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Finding the Fourth Proportional to 846.93, 1,270.76 and 407.97

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Solution

The fourth proportional to 846.93, 1,270.76 and 407.97 is: 612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.93 : 1,270.76 = 407.97 : x
  2. Step 2: Convert to fraction form
    846.93/1,270.76 = 407.97/x
  3. Step 3: Cross multiply
    846.93x = 1,270.76 × 407.97
  4. Step 4: Simplify right side
    846.93x = 518,429.92
  5. Step 5: Solve for x
    x = 518,429.92/846.93
  6. Step 6: Final answer
    x = 612.13

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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.