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Finding the Fourth Proportional to 846.54, 1,168.16 and 492.32

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Solution

The fourth proportional to 846.54, 1,168.16 and 492.32 is: 679.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.54 : 1,168.16 = 492.32 : x
  2. Step 2: Convert to fraction form
    846.54/1,168.16 = 492.32/x
  3. Step 3: Cross multiply
    846.54x = 1,168.16 × 492.32
  4. Step 4: Simplify right side
    846.54x = 575,100.23
  5. Step 5: Solve for x
    x = 575,100.23/846.54
  6. Step 6: Final answer
    x = 679.35

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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.