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Finding the Fourth Proportional to 1,161.42, 1,740.67 and 830.64

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Solution

The fourth proportional to 1,161.42, 1,740.67 and 830.64 is: 1,244.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.42 : 1,740.67 = 830.64 : x
  2. Step 2: Convert to fraction form
    1,161.42/1,740.67 = 830.64/x
  3. Step 3: Cross multiply
    1,161.42x = 1,740.67 × 830.64
  4. Step 4: Simplify right side
    1,161.42x = 1,445,870.13
  5. Step 5: Solve for x
    x = 1,445,870.13/1,161.42
  6. Step 6: Final answer
    x = 1,244.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.