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Finding the Fourth Proportional to 1,023.75, 1,412.75 and 581.64

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Solution

The fourth proportional to 1,023.75, 1,412.75 and 581.64 is: 802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.75 : 1,412.75 = 581.64 : x
  2. Step 2: Convert to fraction form
    1,023.75/1,412.75 = 581.64/x
  3. Step 3: Cross multiply
    1,023.75x = 1,412.75 × 581.64
  4. Step 4: Simplify right side
    1,023.75x = 821,711.91
  5. Step 5: Solve for x
    x = 821,711.91/1,023.75
  6. Step 6: Final answer
    x = 802.65

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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.