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Finding the Fourth Proportional to 1,078.16, 1,616 and 461.52

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Solution

The fourth proportional to 1,078.16, 1,616 and 461.52 is: 691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.16 : 1,616 = 461.52 : x
  2. Step 2: Convert to fraction form
    1,078.16/1,616 = 461.52/x
  3. Step 3: Cross multiply
    1,078.16x = 1,616 × 461.52
  4. Step 4: Simplify right side
    1,078.16x = 745,816.32
  5. Step 5: Solve for x
    x = 745,816.32/1,078.16
  6. Step 6: Final answer
    x = 691.75

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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.