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Finding the Fourth Proportional to 1,215.54, 1,823.65 and 522.32

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Solution

The fourth proportional to 1,215.54, 1,823.65 and 522.32 is: 783.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.54 : 1,823.65 = 522.32 : x
  2. Step 2: Convert to fraction form
    1,215.54/1,823.65 = 522.32/x
  3. Step 3: Cross multiply
    1,215.54x = 1,823.65 × 522.32
  4. Step 4: Simplify right side
    1,215.54x = 952,518.44
  5. Step 5: Solve for x
    x = 952,518.44/1,215.54
  6. Step 6: Final answer
    x = 783.62

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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.