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Finding the Fourth Proportional to 910.01, 1,256.69 and 778.25

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Solution

The fourth proportional to 910.01, 1,256.69 and 778.25 is: 1,074.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.01 : 1,256.69 = 778.25 : x
  2. Step 2: Convert to fraction form
    910.01/1,256.69 = 778.25/x
  3. Step 3: Cross multiply
    910.01x = 1,256.69 × 778.25
  4. Step 4: Simplify right side
    910.01x = 978,014.65
  5. Step 5: Solve for x
    x = 978,014.65/910.01
  6. Step 6: Final answer
    x = 1,074.74

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