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Finding the Fourth Proportional to 1,118.36, 1,677.51 and 460.43

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Solution

The fourth proportional to 1,118.36, 1,677.51 and 460.43 is: 690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.36 : 1,677.51 = 460.43 : x
  2. Step 2: Convert to fraction form
    1,118.36/1,677.51 = 460.43/x
  3. Step 3: Cross multiply
    1,118.36x = 1,677.51 × 460.43
  4. Step 4: Simplify right side
    1,118.36x = 772,383.27
  5. Step 5: Solve for x
    x = 772,383.27/1,118.36
  6. Step 6: Final answer
    x = 690.64

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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.