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Finding the Fourth Proportional to 914.72, 1,261.08 and 776.21

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Solution

The fourth proportional to 914.72, 1,261.08 and 776.21 is: 1,070.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.72 : 1,261.08 = 776.21 : x
  2. Step 2: Convert to fraction form
    914.72/1,261.08 = 776.21/x
  3. Step 3: Cross multiply
    914.72x = 1,261.08 × 776.21
  4. Step 4: Simplify right side
    914.72x = 978,856.60
  5. Step 5: Solve for x
    x = 978,856.60/914.72
  6. Step 6: Final answer
    x = 1,070.12

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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.