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Finding the Fourth Proportional to 1,021.97, 1,410.62 and 690.88

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Solution

The fourth proportional to 1,021.97, 1,410.62 and 690.88 is: 953.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.97 : 1,410.62 = 690.88 : x
  2. Step 2: Convert to fraction form
    1,021.97/1,410.62 = 690.88/x
  3. Step 3: Cross multiply
    1,021.97x = 1,410.62 × 690.88
  4. Step 4: Simplify right side
    1,021.97x = 974,564.81
  5. Step 5: Solve for x
    x = 974,564.81/1,021.97
  6. Step 6: Final answer
    x = 953.62

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Why These Related Problems?

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