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Finding the Fourth Proportional to 846.50, 1,168.22 and 497.30

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Solution

The fourth proportional to 846.50, 1,168.22 and 497.30 is: 686.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.50 : 1,168.22 = 497.30 : x
  2. Step 2: Convert to fraction form
    846.50/1,168.22 = 497.30/x
  3. Step 3: Cross multiply
    846.50x = 1,168.22 × 497.30
  4. Step 4: Simplify right side
    846.50x = 580,955.81
  5. Step 5: Solve for x
    x = 580,955.81/846.50
  6. Step 6: Final answer
    x = 686.30

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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.