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Finding the Fourth Proportional to 920.64, 1,270.48 and 588.96

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Solution

The fourth proportional to 920.64, 1,270.48 and 588.96 is: 812.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.64 : 1,270.48 = 588.96 : x
  2. Step 2: Convert to fraction form
    920.64/1,270.48 = 588.96/x
  3. Step 3: Cross multiply
    920.64x = 1,270.48 × 588.96
  4. Step 4: Simplify right side
    920.64x = 748,261.90
  5. Step 5: Solve for x
    x = 748,261.90/920.64
  6. Step 6: Final answer
    x = 812.76

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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.