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Finding the Fourth Proportional to 1,029.62, 1,420.73 and 581.41

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Solution

The fourth proportional to 1,029.62, 1,420.73 and 581.41 is: 802.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.62 : 1,420.73 = 581.41 : x
  2. Step 2: Convert to fraction form
    1,029.62/1,420.73 = 581.41/x
  3. Step 3: Cross multiply
    1,029.62x = 1,420.73 × 581.41
  4. Step 4: Simplify right side
    1,029.62x = 826,030.18
  5. Step 5: Solve for x
    x = 826,030.18/1,029.62
  6. Step 6: Final answer
    x = 802.27

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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.