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Finding the Fourth Proportional to 1,415.80, 2,123.80 and 442.04

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Solution

The fourth proportional to 1,415.80, 2,123.80 and 442.04 is: 663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.80 : 2,123.80 = 442.04 : x
  2. Step 2: Convert to fraction form
    1,415.80/2,123.80 = 442.04/x
  3. Step 3: Cross multiply
    1,415.80x = 2,123.80 × 442.04
  4. Step 4: Simplify right side
    1,415.80x = 938,804.55
  5. Step 5: Solve for x
    x = 938,804.55/1,415.80
  6. Step 6: Final answer
    x = 663.09

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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.