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Finding the Fourth Proportional to 846.72, 1,166.88 and 581.24

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Solution

The fourth proportional to 846.72, 1,166.88 and 581.24 is: 801.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.72 : 1,166.88 = 581.24 : x
  2. Step 2: Convert to fraction form
    846.72/1,166.88 = 581.24/x
  3. Step 3: Cross multiply
    846.72x = 1,166.88 × 581.24
  4. Step 4: Simplify right side
    846.72x = 678,242.43
  5. Step 5: Solve for x
    x = 678,242.43/846.72
  6. Step 6: Final answer
    x = 801.02

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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.