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Finding the Fourth Proportional to 1,210.46, 1,658.80 and 1,093.82

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Solution

The fourth proportional to 1,210.46, 1,658.80 and 1,093.82 is: 1,498.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.46 : 1,658.80 = 1,093.82 : x
  2. Step 2: Convert to fraction form
    1,210.46/1,658.80 = 1,093.82/x
  3. Step 3: Cross multiply
    1,210.46x = 1,658.80 × 1,093.82
  4. Step 4: Simplify right side
    1,210.46x = 1,814,428.62
  5. Step 5: Solve for x
    x = 1,814,428.62/1,210.46
  6. Step 6: Final answer
    x = 1,498.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.