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Finding the Fourth Proportional to 1,652.23, 2,478.48 and 830.08

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Solution

The fourth proportional to 1,652.23, 2,478.48 and 830.08 is: 1,245.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.23 : 2,478.48 = 830.08 : x
  2. Step 2: Convert to fraction form
    1,652.23/2,478.48 = 830.08/x
  3. Step 3: Cross multiply
    1,652.23x = 2,478.48 × 830.08
  4. Step 4: Simplify right side
    1,652.23x = 2,057,336.68
  5. Step 5: Solve for x
    x = 2,057,336.68/1,652.23
  6. Step 6: Final answer
    x = 1,245.19

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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.