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Finding the Fourth Proportional to 1,410.98, 2,116.96 and 630.90

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Solution

The fourth proportional to 1,410.98, 2,116.96 and 630.90 is: 946.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.98 : 2,116.96 = 630.90 : x
  2. Step 2: Convert to fraction form
    1,410.98/2,116.96 = 630.90/x
  3. Step 3: Cross multiply
    1,410.98x = 2,116.96 × 630.90
  4. Step 4: Simplify right side
    1,410.98x = 1,335,590.06
  5. Step 5: Solve for x
    x = 1,335,590.06/1,410.98
  6. Step 6: Final answer
    x = 946.57

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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.