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Finding the Fourth Proportional to 1,308.26, 1,962.44 and 577.67

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Solution

The fourth proportional to 1,308.26, 1,962.44 and 577.67 is: 866.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.26 : 1,962.44 = 577.67 : x
  2. Step 2: Convert to fraction form
    1,308.26/1,962.44 = 577.67/x
  3. Step 3: Cross multiply
    1,308.26x = 1,962.44 × 577.67
  4. Step 4: Simplify right side
    1,308.26x = 1,133,630.01
  5. Step 5: Solve for x
    x = 1,133,630.01/1,308.26
  6. Step 6: Final answer
    x = 866.52

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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.