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Finding the Fourth Proportional to 1,023.75, 1,412.66 and 581.66

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Solution

The fourth proportional to 1,023.75, 1,412.66 and 581.66 is: 802.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.75 : 1,412.66 = 581.66 : x
  2. Step 2: Convert to fraction form
    1,023.75/1,412.66 = 581.66/x
  3. Step 3: Cross multiply
    1,023.75x = 1,412.66 × 581.66
  4. Step 4: Simplify right side
    1,023.75x = 821,677.84
  5. Step 5: Solve for x
    x = 821,677.84/1,023.75
  6. Step 6: Final answer
    x = 802.62

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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.