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Finding the Fourth Proportional to 846.25, 1,167.28 and 551.00

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Solution

The fourth proportional to 846.25, 1,167.28 and 551.00 is: 760.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.25 : 1,167.28 = 551.00 : x
  2. Step 2: Convert to fraction form
    846.25/1,167.28 = 551.00/x
  3. Step 3: Cross multiply
    846.25x = 1,167.28 × 551.00
  4. Step 4: Simplify right side
    846.25x = 643,172.82
  5. Step 5: Solve for x
    x = 643,172.82/846.25
  6. Step 6: Final answer
    x = 760.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.