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Finding the Fourth Proportional to 1,234.58, 1,848.83 and 713.34

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Solution

The fourth proportional to 1,234.58, 1,848.83 and 713.34 is: 1,068.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.58 : 1,848.83 = 713.34 : x
  2. Step 2: Convert to fraction form
    1,234.58/1,848.83 = 713.34/x
  3. Step 3: Cross multiply
    1,234.58x = 1,848.83 × 713.34
  4. Step 4: Simplify right side
    1,234.58x = 1,318,840.83
  5. Step 5: Solve for x
    x = 1,318,840.83/1,234.58
  6. Step 6: Final answer
    x = 1,068.25

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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.