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Finding the Fourth Proportional to 823.34, 1,235.14 and 390.26

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Solution

The fourth proportional to 823.34, 1,235.14 and 390.26 is: 585.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.34 : 1,235.14 = 390.26 : x
  2. Step 2: Convert to fraction form
    823.34/1,235.14 = 390.26/x
  3. Step 3: Cross multiply
    823.34x = 1,235.14 × 390.26
  4. Step 4: Simplify right side
    823.34x = 482,018.59
  5. Step 5: Solve for x
    x = 482,018.59/823.34
  6. Step 6: Final answer
    x = 585.45

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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.