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Finding the Fourth Proportional to 1,024.02, 1,412.90 and 581.82

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Solution

The fourth proportional to 1,024.02, 1,412.90 and 581.82 is: 802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.02 : 1,412.90 = 581.82 : x
  2. Step 2: Convert to fraction form
    1,024.02/1,412.90 = 581.82/x
  3. Step 3: Cross multiply
    1,024.02x = 1,412.90 × 581.82
  4. Step 4: Simplify right side
    1,024.02x = 822,053.48
  5. Step 5: Solve for x
    x = 822,053.48/1,024.02
  6. Step 6: Final answer
    x = 802.77

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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.