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Finding the Fourth Proportional to 846.93, 1,168.75 and 474.00

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Solution

The fourth proportional to 846.93, 1,168.75 and 474.00 is: 654.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.93 : 1,168.75 = 474.00 : x
  2. Step 2: Convert to fraction form
    846.93/1,168.75 = 474.00/x
  3. Step 3: Cross multiply
    846.93x = 1,168.75 × 474.00
  4. Step 4: Simplify right side
    846.93x = 553,991.62
  5. Step 5: Solve for x
    x = 553,991.62/846.93
  6. Step 6: Final answer
    x = 654.12

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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.