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Finding the Fourth Proportional to 1,322.46, 1,823.91 and 824.16

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Solution

The fourth proportional to 1,322.46, 1,823.91 and 824.16 is: 1,136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.46 : 1,823.91 = 824.16 : x
  2. Step 2: Convert to fraction form
    1,322.46/1,823.91 = 824.16/x
  3. Step 3: Cross multiply
    1,322.46x = 1,823.91 × 824.16
  4. Step 4: Simplify right side
    1,322.46x = 1,503,193.67
  5. Step 5: Solve for x
    x = 1,503,193.67/1,322.46
  6. Step 6: Final answer
    x = 1,136.66

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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.