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Finding the Fourth Proportional to 1,310.74, 1,805.76 and 978.54

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Solution

The fourth proportional to 1,310.74, 1,805.76 and 978.54 is: 1,348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.74 : 1,805.76 = 978.54 : x
  2. Step 2: Convert to fraction form
    1,310.74/1,805.76 = 978.54/x
  3. Step 3: Cross multiply
    1,310.74x = 1,805.76 × 978.54
  4. Step 4: Simplify right side
    1,310.74x = 1,767,008.39
  5. Step 5: Solve for x
    x = 1,767,008.39/1,310.74
  6. Step 6: Final answer
    x = 1,348.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.