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Finding the Fourth Proportional to 651.84, 894.64 and 596.24

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Solution

The fourth proportional to 651.84, 894.64 and 596.24 is: 818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.84 : 894.64 = 596.24 : x
  2. Step 2: Convert to fraction form
    651.84/894.64 = 596.24/x
  3. Step 3: Cross multiply
    651.84x = 894.64 × 596.24
  4. Step 4: Simplify right side
    651.84x = 533,420.15
  5. Step 5: Solve for x
    x = 533,420.15/651.84
  6. Step 6: Final answer
    x = 818.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.