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Finding the Fourth Proportional to 1,023.87, 1,412.73 and 581.61

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Solution

The fourth proportional to 1,023.87, 1,412.73 and 581.61 is: 802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.87 : 1,412.73 = 581.61 : x
  2. Step 2: Convert to fraction form
    1,023.87/1,412.73 = 581.61/x
  3. Step 3: Cross multiply
    1,023.87x = 1,412.73 × 581.61
  4. Step 4: Simplify right side
    1,023.87x = 821,657.90
  5. Step 5: Solve for x
    x = 821,657.90/1,023.87
  6. Step 6: Final answer
    x = 802.50

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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.