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Finding the Fourth Proportional to 917.74, 1,268.30 and 751.69

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Solution

The fourth proportional to 917.74, 1,268.30 and 751.69 is: 1,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.74 : 1,268.30 = 751.69 : x
  2. Step 2: Convert to fraction form
    917.74/1,268.30 = 751.69/x
  3. Step 3: Cross multiply
    917.74x = 1,268.30 × 751.69
  4. Step 4: Simplify right side
    917.74x = 953,358.33
  5. Step 5: Solve for x
    x = 953,358.33/917.74
  6. Step 6: Final answer
    x = 1,038.82

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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.