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Finding the Fourth Proportional to 1,220, 1,681.62 and 953.97

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Solution

The fourth proportional to 1,220, 1,681.62 and 953.97 is: 1,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220 : 1,681.62 = 953.97 : x
  2. Step 2: Convert to fraction form
    1,220/1,681.62 = 953.97/x
  3. Step 3: Cross multiply
    1,220x = 1,681.62 × 953.97
  4. Step 4: Simplify right side
    1,220x = 1,604,215.03
  5. Step 5: Solve for x
    x = 1,604,215.03/1,220
  6. Step 6: Final answer
    x = 1,314.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.