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Finding the Fourth Proportional to 817.34, 1,223.16 and 783.32

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Solution

The fourth proportional to 817.34, 1,223.16 and 783.32 is: 1,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.34 : 1,223.16 = 783.32 : x
  2. Step 2: Convert to fraction form
    817.34/1,223.16 = 783.32/x
  3. Step 3: Cross multiply
    817.34x = 1,223.16 × 783.32
  4. Step 4: Simplify right side
    817.34x = 958,125.69
  5. Step 5: Solve for x
    x = 958,125.69/817.34
  6. Step 6: Final answer
    x = 1,172.25

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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.