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Finding the Fourth Proportional to 1,525.83, 2,289.30 and 648.57

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Solution

The fourth proportional to 1,525.83, 2,289.30 and 648.57 is: 973.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.83 : 2,289.30 = 648.57 : x
  2. Step 2: Convert to fraction form
    1,525.83/2,289.30 = 648.57/x
  3. Step 3: Cross multiply
    1,525.83x = 2,289.30 × 648.57
  4. Step 4: Simplify right side
    1,525.83x = 1,484,771.30
  5. Step 5: Solve for x
    x = 1,484,771.30/1,525.83
  6. Step 6: Final answer
    x = 973.09

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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.