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Finding the Fourth Proportional to 1,078.24, 1,616.32 and 347.68

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Solution

The fourth proportional to 1,078.24, 1,616.32 and 347.68 is: 521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.24 : 1,616.32 = 347.68 : x
  2. Step 2: Convert to fraction form
    1,078.24/1,616.32 = 347.68/x
  3. Step 3: Cross multiply
    1,078.24x = 1,616.32 × 347.68
  4. Step 4: Simplify right side
    1,078.24x = 561,962.14
  5. Step 5: Solve for x
    x = 561,962.14/1,078.24
  6. Step 6: Final answer
    x = 521.18

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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.