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Finding the Fourth Proportional to 1,023.08, 1,409.82 and 712.04

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Solution

The fourth proportional to 1,023.08, 1,409.82 and 712.04 is: 981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.08 : 1,409.82 = 712.04 : x
  2. Step 2: Convert to fraction form
    1,023.08/1,409.82 = 712.04/x
  3. Step 3: Cross multiply
    1,023.08x = 1,409.82 × 712.04
  4. Step 4: Simplify right side
    1,023.08x = 1,003,848.23
  5. Step 5: Solve for x
    x = 1,003,848.23/1,023.08
  6. Step 6: Final answer
    x = 981.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.