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Finding the Fourth Proportional to 1,208.34, 1,811.88 and 558.50

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Solution

The fourth proportional to 1,208.34, 1,811.88 and 558.50 is: 837.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.34 : 1,811.88 = 558.50 : x
  2. Step 2: Convert to fraction form
    1,208.34/1,811.88 = 558.50/x
  3. Step 3: Cross multiply
    1,208.34x = 1,811.88 × 558.50
  4. Step 4: Simplify right side
    1,208.34x = 1,011,934.98
  5. Step 5: Solve for x
    x = 1,011,934.98/1,208.34
  6. Step 6: Final answer
    x = 837.46

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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.