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Finding the Fourth Proportional to 1,188.34, 1,782.96 and 457.96

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Solution

The fourth proportional to 1,188.34, 1,782.96 and 457.96 is: 687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.34 : 1,782.96 = 457.96 : x
  2. Step 2: Convert to fraction form
    1,188.34/1,782.96 = 457.96/x
  3. Step 3: Cross multiply
    1,188.34x = 1,782.96 × 457.96
  4. Step 4: Simplify right side
    1,188.34x = 816,524.36
  5. Step 5: Solve for x
    x = 816,524.36/1,188.34
  6. Step 6: Final answer
    x = 687.11

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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.