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Finding the Fourth Proportional to 917.08, 1,369.69 and 830.23

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Solution

The fourth proportional to 917.08, 1,369.69 and 830.23 is: 1,239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.08 : 1,369.69 = 830.23 : x
  2. Step 2: Convert to fraction form
    917.08/1,369.69 = 830.23/x
  3. Step 3: Cross multiply
    917.08x = 1,369.69 × 830.23
  4. Step 4: Simplify right side
    917.08x = 1,137,157.73
  5. Step 5: Solve for x
    x = 1,137,157.73/917.08
  6. Step 6: Final answer
    x = 1,239.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.