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Finding the Fourth Proportional to 822.18, 1,133.86 and 597.67

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Solution

The fourth proportional to 822.18, 1,133.86 and 597.67 is: 824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.18 : 1,133.86 = 597.67 : x
  2. Step 2: Convert to fraction form
    822.18/1,133.86 = 597.67/x
  3. Step 3: Cross multiply
    822.18x = 1,133.86 × 597.67
  4. Step 4: Simplify right side
    822.18x = 677,670.14
  5. Step 5: Solve for x
    x = 677,670.14/822.18
  6. Step 6: Final answer
    x = 824.24

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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.