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Finding the Fourth Proportional to 1,466.68, 2,023.52 and 836.76

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Solution

The fourth proportional to 1,466.68, 2,023.52 and 836.76 is: 1,154.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.68 : 2,023.52 = 836.76 : x
  2. Step 2: Convert to fraction form
    1,466.68/2,023.52 = 836.76/x
  3. Step 3: Cross multiply
    1,466.68x = 2,023.52 × 836.76
  4. Step 4: Simplify right side
    1,466.68x = 1,693,190.46
  5. Step 5: Solve for x
    x = 1,693,190.46/1,466.68
  6. Step 6: Final answer
    x = 1,154.44

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1.5x scale

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.