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Finding the Fourth Proportional to 1,298.90, 1,947.73 and 421.23

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Solution

The fourth proportional to 1,298.90, 1,947.73 and 421.23 is: 631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.90 : 1,947.73 = 421.23 : x
  2. Step 2: Convert to fraction form
    1,298.90/1,947.73 = 421.23/x
  3. Step 3: Cross multiply
    1,298.90x = 1,947.73 × 421.23
  4. Step 4: Simplify right side
    1,298.90x = 820,442.31
  5. Step 5: Solve for x
    x = 820,442.31/1,298.90
  6. Step 6: Final answer
    x = 631.64

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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.