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Finding the Fourth Proportional to 917.36, 1,265.22 and 740.27

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Solution

The fourth proportional to 917.36, 1,265.22 and 740.27 is: 1,020.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.36 : 1,265.22 = 740.27 : x
  2. Step 2: Convert to fraction form
    917.36/1,265.22 = 740.27/x
  3. Step 3: Cross multiply
    917.36x = 1,265.22 × 740.27
  4. Step 4: Simplify right side
    917.36x = 936,607.57
  5. Step 5: Solve for x
    x = 936,607.57/917.36
  6. Step 6: Final answer
    x = 1,020.98

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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.