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Finding the Fourth Proportional to 1,023.81, 1,412.52 and 581.55

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Solution

The fourth proportional to 1,023.81, 1,412.52 and 581.55 is: 802.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.81 : 1,412.52 = 581.55 : x
  2. Step 2: Convert to fraction form
    1,023.81/1,412.52 = 581.55/x
  3. Step 3: Cross multiply
    1,023.81x = 1,412.52 × 581.55
  4. Step 4: Simplify right side
    1,023.81x = 821,451.01
  5. Step 5: Solve for x
    x = 821,451.01/1,023.81
  6. Step 6: Final answer
    x = 802.35

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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.