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Finding the Fourth Proportional to 1,275.58, 1,911.98 and 659.34

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Solution

The fourth proportional to 1,275.58, 1,911.98 and 659.34 is: 988.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.58 : 1,911.98 = 659.34 : x
  2. Step 2: Convert to fraction form
    1,275.58/1,911.98 = 659.34/x
  3. Step 3: Cross multiply
    1,275.58x = 1,911.98 × 659.34
  4. Step 4: Simplify right side
    1,275.58x = 1,260,644.89
  5. Step 5: Solve for x
    x = 1,260,644.89/1,275.58
  6. Step 6: Final answer
    x = 988.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.