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Finding the Fourth Proportional to 1,166.78, 1,609.53 and 835.42

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Solution

The fourth proportional to 1,166.78, 1,609.53 and 835.42 is: 1,152.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.78 : 1,609.53 = 835.42 : x
  2. Step 2: Convert to fraction form
    1,166.78/1,609.53 = 835.42/x
  3. Step 3: Cross multiply
    1,166.78x = 1,609.53 × 835.42
  4. Step 4: Simplify right side
    1,166.78x = 1,344,633.55
  5. Step 5: Solve for x
    x = 1,344,633.55/1,166.78
  6. Step 6: Final answer
    x = 1,152.43

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1.5x scale

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.