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Finding the Fourth Proportional to 882.58, 1,323.01 and 420.24

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Solution

The fourth proportional to 882.58, 1,323.01 and 420.24 is: 629.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.58 : 1,323.01 = 420.24 : x
  2. Step 2: Convert to fraction form
    882.58/1,323.01 = 420.24/x
  3. Step 3: Cross multiply
    882.58x = 1,323.01 × 420.24
  4. Step 4: Simplify right side
    882.58x = 555,980.95
  5. Step 5: Solve for x
    x = 555,980.95/882.58
  6. Step 6: Final answer
    x = 629.95

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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.