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Finding the Fourth Proportional to 1,297.90, 1,946.23 and 420.23

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Solution

The fourth proportional to 1,297.90, 1,946.23 and 420.23 is: 630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.90 : 1,946.23 = 420.23 : x
  2. Step 2: Convert to fraction form
    1,297.90/1,946.23 = 420.23/x
  3. Step 3: Cross multiply
    1,297.90x = 1,946.23 × 420.23
  4. Step 4: Simplify right side
    1,297.90x = 817,864.23
  5. Step 5: Solve for x
    x = 817,864.23/1,297.90
  6. Step 6: Final answer
    x = 630.14

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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.