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Finding the Fourth Proportional to 1,465.94, 2,023.04 and 836.56

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Solution

The fourth proportional to 1,465.94, 2,023.04 and 836.56 is: 1,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.94 : 2,023.04 = 836.56 : x
  2. Step 2: Convert to fraction form
    1,465.94/2,023.04 = 836.56/x
  3. Step 3: Cross multiply
    1,465.94x = 2,023.04 × 836.56
  4. Step 4: Simplify right side
    1,465.94x = 1,692,394.34
  5. Step 5: Solve for x
    x = 1,692,394.34/1,465.94
  6. Step 6: Final answer
    x = 1,154.48

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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.