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Finding the Fourth Proportional to 1,023.48, 1,412.28 and 581.40

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Solution

The fourth proportional to 1,023.48, 1,412.28 and 581.40 is: 802.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.48 : 1,412.28 = 581.40 : x
  2. Step 2: Convert to fraction form
    1,023.48/1,412.28 = 581.40/x
  3. Step 3: Cross multiply
    1,023.48x = 1,412.28 × 581.40
  4. Step 4: Simplify right side
    1,023.48x = 821,099.59
  5. Step 5: Solve for x
    x = 821,099.59/1,023.48
  6. Step 6: Final answer
    x = 802.26

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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.