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Finding the Fourth Proportional to 1,234.86, 1,853.10 and 658.14

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Solution

The fourth proportional to 1,234.86, 1,853.10 and 658.14 is: 987.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.86 : 1,853.10 = 658.14 : x
  2. Step 2: Convert to fraction form
    1,234.86/1,853.10 = 658.14/x
  3. Step 3: Cross multiply
    1,234.86x = 1,853.10 × 658.14
  4. Step 4: Simplify right side
    1,234.86x = 1,219,599.23
  5. Step 5: Solve for x
    x = 1,219,599.23/1,234.86
  6. Step 6: Final answer
    x = 987.64

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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.