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Finding the Fourth Proportional to 3,023.08, 4,534.64 and 832.04

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Solution

The fourth proportional to 3,023.08, 4,534.64 and 832.04 is: 1,248.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.08 : 4,534.64 = 832.04 : x
  2. Step 2: Convert to fraction form
    3,023.08/4,534.64 = 832.04/x
  3. Step 3: Cross multiply
    3,023.08x = 4,534.64 × 832.04
  4. Step 4: Simplify right side
    3,023.08x = 3,773,001.87
  5. Step 5: Solve for x
    x = 3,773,001.87/3,023.08
  6. Step 6: Final answer
    x = 1,248.07

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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.