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Finding the Fourth Proportional to 817.83, 1,223.91 and 783.81

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Solution

The fourth proportional to 817.83, 1,223.91 and 783.81 is: 1,173.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.83 : 1,223.91 = 783.81 : x
  2. Step 2: Convert to fraction form
    817.83/1,223.91 = 783.81/x
  3. Step 3: Cross multiply
    817.83x = 1,223.91 × 783.81
  4. Step 4: Simplify right side
    817.83x = 959,312.90
  5. Step 5: Solve for x
    x = 959,312.90/817.83
  6. Step 6: Final answer
    x = 1,173.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.