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Finding the Fourth Proportional to 598.23, 892.25 and 587.84

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Solution

The fourth proportional to 598.23, 892.25 and 587.84 is: 876.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.23 : 892.25 = 587.84 : x
  2. Step 2: Convert to fraction form
    598.23/892.25 = 587.84/x
  3. Step 3: Cross multiply
    598.23x = 892.25 × 587.84
  4. Step 4: Simplify right side
    598.23x = 524,492.84
  5. Step 5: Solve for x
    x = 524,492.84/598.23
  6. Step 6: Final answer
    x = 876.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.