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Finding the Fourth Proportional to 1,023.40, 1,412.12 and 581.27

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Solution

The fourth proportional to 1,023.40, 1,412.12 and 581.27 is: 802.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.40 : 1,412.12 = 581.27 : x
  2. Step 2: Convert to fraction form
    1,023.40/1,412.12 = 581.27/x
  3. Step 3: Cross multiply
    1,023.40x = 1,412.12 × 581.27
  4. Step 4: Simplify right side
    1,023.40x = 820,822.99
  5. Step 5: Solve for x
    x = 820,822.99/1,023.40
  6. Step 6: Final answer
    x = 802.05

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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.