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Finding the Fourth Proportional to 1,023.64, 1,534.65 and 446.92

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Solution

The fourth proportional to 1,023.64, 1,534.65 and 446.92 is: 670.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.64 : 1,534.65 = 446.92 : x
  2. Step 2: Convert to fraction form
    1,023.64/1,534.65 = 446.92/x
  3. Step 3: Cross multiply
    1,023.64x = 1,534.65 × 446.92
  4. Step 4: Simplify right side
    1,023.64x = 685,865.78
  5. Step 5: Solve for x
    x = 685,865.78/1,023.64
  6. Step 6: Final answer
    x = 670.03

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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.