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Finding the Fourth Proportional to 846.89, 1,168.05 and 567.04

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Solution

The fourth proportional to 846.89, 1,168.05 and 567.04 is: 782.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.89 : 1,168.05 = 567.04 : x
  2. Step 2: Convert to fraction form
    846.89/1,168.05 = 567.04/x
  3. Step 3: Cross multiply
    846.89x = 1,168.05 × 567.04
  4. Step 4: Simplify right side
    846.89x = 662,325.23
  5. Step 5: Solve for x
    x = 662,325.23/846.89
  6. Step 6: Final answer
    x = 782.07

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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.