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Finding the Fourth Proportional to 1,023.00, 1,410.33 and 690.90

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Solution

The fourth proportional to 1,023.00, 1,410.33 and 690.90 is: 952.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.00 : 1,410.33 = 690.90 : x
  2. Step 2: Convert to fraction form
    1,023.00/1,410.33 = 690.90/x
  3. Step 3: Cross multiply
    1,023.00x = 1,410.33 × 690.90
  4. Step 4: Simplify right side
    1,023.00x = 974,397.07
  5. Step 5: Solve for x
    x = 974,397.07/1,023.00
  6. Step 6: Final answer
    x = 952.49

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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.