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Finding the Fourth Proportional to 1,072.90, 1,600.30 and 978.58

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Solution

The fourth proportional to 1,072.90, 1,600.30 and 978.58 is: 1,459.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.90 : 1,600.30 = 978.58 : x
  2. Step 2: Convert to fraction form
    1,072.90/1,600.30 = 978.58/x
  3. Step 3: Cross multiply
    1,072.90x = 1,600.30 × 978.58
  4. Step 4: Simplify right side
    1,072.90x = 1,566,021.57
  5. Step 5: Solve for x
    x = 1,566,021.57/1,072.90
  6. Step 6: Final answer
    x = 1,459.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.