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Finding the Fourth Proportional to 1,078.34, 1,617.68 and 347.82

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Solution

The fourth proportional to 1,078.34, 1,617.68 and 347.82 is: 521.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.34 : 1,617.68 = 347.82 : x
  2. Step 2: Convert to fraction form
    1,078.34/1,617.68 = 347.82/x
  3. Step 3: Cross multiply
    1,078.34x = 1,617.68 × 347.82
  4. Step 4: Simplify right side
    1,078.34x = 562,661.46
  5. Step 5: Solve for x
    x = 562,661.46/1,078.34
  6. Step 6: Final answer
    x = 521.78

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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.