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Finding the Fourth Proportional to 598.87, 896.91 and 582.47

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Solution

The fourth proportional to 598.87, 896.91 and 582.47 is: 872.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.87 : 896.91 = 582.47 : x
  2. Step 2: Convert to fraction form
    598.87/896.91 = 582.47/x
  3. Step 3: Cross multiply
    598.87x = 896.91 × 582.47
  4. Step 4: Simplify right side
    598.87x = 522,423.17
  5. Step 5: Solve for x
    x = 522,423.17/598.87
  6. Step 6: Final answer
    x = 872.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.