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Finding the Fourth Proportional to 846.47, 1,167.08 and 551.23

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Solution

The fourth proportional to 846.47, 1,167.08 and 551.23 is: 760.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.47 : 1,167.08 = 551.23 : x
  2. Step 2: Convert to fraction form
    846.47/1,167.08 = 551.23/x
  3. Step 3: Cross multiply
    846.47x = 1,167.08 × 551.23
  4. Step 4: Simplify right side
    846.47x = 643,323.83
  5. Step 5: Solve for x
    x = 643,323.83/846.47
  6. Step 6: Final answer
    x = 760.01

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