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Finding the Fourth Proportional to 1,024.03, 1,412.82 and 581.84

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Solution

The fourth proportional to 1,024.03, 1,412.82 and 581.84 is: 802.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.03 : 1,412.82 = 581.84 : x
  2. Step 2: Convert to fraction form
    1,024.03/1,412.82 = 581.84/x
  3. Step 3: Cross multiply
    1,024.03x = 1,412.82 × 581.84
  4. Step 4: Simplify right side
    1,024.03x = 822,028.12
  5. Step 5: Solve for x
    x = 822,028.12/1,024.03
  6. Step 6: Final answer
    x = 802.74

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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.