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Finding the Fourth Proportional to 1,023.32, 1,412.07 and 581.06

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Solution

The fourth proportional to 1,023.32, 1,412.07 and 581.06 is: 801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.32 : 1,412.07 = 581.06 : x
  2. Step 2: Convert to fraction form
    1,023.32/1,412.07 = 581.06/x
  3. Step 3: Cross multiply
    1,023.32x = 1,412.07 × 581.06
  4. Step 4: Simplify right side
    1,023.32x = 820,490.33
  5. Step 5: Solve for x
    x = 820,490.33/1,023.32
  6. Step 6: Final answer
    x = 801.80

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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.