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Finding the Fourth Proportional to 1,023.08, 1,534.98 and 446

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Solution

The fourth proportional to 1,023.08, 1,534.98 and 446 is: 669.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.08 : 1,534.98 = 446 : x
  2. Step 2: Convert to fraction form
    1,023.08/1,534.98 = 446/x
  3. Step 3: Cross multiply
    1,023.08x = 1,534.98 × 446
  4. Step 4: Simplify right side
    1,023.08x = 684,601.08
  5. Step 5: Solve for x
    x = 684,601.08/1,023.08
  6. Step 6: Final answer
    x = 669.16

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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.