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Finding the Fourth Proportional to 816.84, 1,127.56 and 597.36

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Solution

The fourth proportional to 816.84, 1,127.56 and 597.36 is: 824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.84 : 1,127.56 = 597.36 : x
  2. Step 2: Convert to fraction form
    816.84/1,127.56 = 597.36/x
  3. Step 3: Cross multiply
    816.84x = 1,127.56 × 597.36
  4. Step 4: Simplify right side
    816.84x = 673,559.24
  5. Step 5: Solve for x
    x = 673,559.24/816.84
  6. Step 6: Final answer
    x = 824.59

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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.