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Finding the Fourth Proportional to 846.72, 1,168.02 and 598.05

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Solution

The fourth proportional to 846.72, 1,168.02 and 598.05 is: 824.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.72 : 1,168.02 = 598.05 : x
  2. Step 2: Convert to fraction form
    846.72/1,168.02 = 598.05/x
  3. Step 3: Cross multiply
    846.72x = 1,168.02 × 598.05
  4. Step 4: Simplify right side
    846.72x = 698,534.36
  5. Step 5: Solve for x
    x = 698,534.36/846.72
  6. Step 6: Final answer
    x = 824.99

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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.