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Finding the Fourth Proportional to 1,023.69, 1,412.70 and 581.67

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Solution

The fourth proportional to 1,023.69, 1,412.70 and 581.67 is: 802.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.69 : 1,412.70 = 581.67 : x
  2. Step 2: Convert to fraction form
    1,023.69/1,412.70 = 581.67/x
  3. Step 3: Cross multiply
    1,023.69x = 1,412.70 × 581.67
  4. Step 4: Simplify right side
    1,023.69x = 821,725.21
  5. Step 5: Solve for x
    x = 821,725.21/1,023.69
  6. Step 6: Final answer
    x = 802.71

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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.