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Finding the Fourth Proportional to 1,164.27, 1,752.30 and 873.35

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Solution

The fourth proportional to 1,164.27, 1,752.30 and 873.35 is: 1,314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.27 : 1,752.30 = 873.35 : x
  2. Step 2: Convert to fraction form
    1,164.27/1,752.30 = 873.35/x
  3. Step 3: Cross multiply
    1,164.27x = 1,752.30 × 873.35
  4. Step 4: Simplify right side
    1,164.27x = 1,530,369.01
  5. Step 5: Solve for x
    x = 1,530,369.01/1,164.27
  6. Step 6: Final answer
    x = 1,314.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.