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Finding the Fourth Proportional to 1,525.45, 2,287.96 and 648.30

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Solution

The fourth proportional to 1,525.45, 2,287.96 and 648.30 is: 972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.45 : 2,287.96 = 648.30 : x
  2. Step 2: Convert to fraction form
    1,525.45/2,287.96 = 648.30/x
  3. Step 3: Cross multiply
    1,525.45x = 2,287.96 × 648.30
  4. Step 4: Simplify right side
    1,525.45x = 1,483,284.47
  5. Step 5: Solve for x
    x = 1,483,284.47/1,525.45
  6. Step 6: Final answer
    x = 972.36

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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.