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Finding the Fourth Proportional to 1,416.96, 2,123.77 and 832.25

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Solution

The fourth proportional to 1,416.96, 2,123.77 and 832.25 is: 1,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.96 : 2,123.77 = 832.25 : x
  2. Step 2: Convert to fraction form
    1,416.96/2,123.77 = 832.25/x
  3. Step 3: Cross multiply
    1,416.96x = 2,123.77 × 832.25
  4. Step 4: Simplify right side
    1,416.96x = 1,767,507.58
  5. Step 5: Solve for x
    x = 1,767,507.58/1,416.96
  6. Step 6: Final answer
    x = 1,247.39

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1.5x scale

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.