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Finding the Fourth Proportional to 1,023.96, 1,534.68 and 446.16

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Solution

The fourth proportional to 1,023.96, 1,534.68 and 446.16 is: 668.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.96 : 1,534.68 = 446.16 : x
  2. Step 2: Convert to fraction form
    1,023.96/1,534.68 = 446.16/x
  3. Step 3: Cross multiply
    1,023.96x = 1,534.68 × 446.16
  4. Step 4: Simplify right side
    1,023.96x = 684,712.83
  5. Step 5: Solve for x
    x = 684,712.83/1,023.96
  6. Step 6: Final answer
    x = 668.69

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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.