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Finding the Fourth Proportional to 815.75, 1,128.69 and 711.05

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Solution

The fourth proportional to 815.75, 1,128.69 and 711.05 is: 983.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.75 : 1,128.69 = 711.05 : x
  2. Step 2: Convert to fraction form
    815.75/1,128.69 = 711.05/x
  3. Step 3: Cross multiply
    815.75x = 1,128.69 × 711.05
  4. Step 4: Simplify right side
    815.75x = 802,560.51
  5. Step 5: Solve for x
    x = 802,560.51/815.75
  6. Step 6: Final answer
    x = 983.84

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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.