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Finding the Fourth Proportional to 1,024.04, 1,412.94 and 581.78

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Solution

The fourth proportional to 1,024.04, 1,412.94 and 581.78 is: 802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.04 : 1,412.94 = 581.78 : x
  2. Step 2: Convert to fraction form
    1,024.04/1,412.94 = 581.78/x
  3. Step 3: Cross multiply
    1,024.04x = 1,412.94 × 581.78
  4. Step 4: Simplify right side
    1,024.04x = 822,020.23
  5. Step 5: Solve for x
    x = 822,020.23/1,024.04
  6. Step 6: Final answer
    x = 802.72

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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.