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Finding the Fourth Proportional to 1,320.61, 1,823.30 and 823.45

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Solution

The fourth proportional to 1,320.61, 1,823.30 and 823.45 is: 1,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.61 : 1,823.30 = 823.45 : x
  2. Step 2: Convert to fraction form
    1,320.61/1,823.30 = 823.45/x
  3. Step 3: Cross multiply
    1,320.61x = 1,823.30 × 823.45
  4. Step 4: Simplify right side
    1,320.61x = 1,501,396.39
  5. Step 5: Solve for x
    x = 1,501,396.39/1,320.61
  6. Step 6: Final answer
    x = 1,136.90

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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.