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Finding the Fourth Proportional to 1,023.16, 1,412.10 and 581.24

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Solution

The fourth proportional to 1,023.16, 1,412.10 and 581.24 is: 802.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.16 : 1,412.10 = 581.24 : x
  2. Step 2: Convert to fraction form
    1,023.16/1,412.10 = 581.24/x
  3. Step 3: Cross multiply
    1,023.16x = 1,412.10 × 581.24
  4. Step 4: Simplify right side
    1,023.16x = 820,769.00
  5. Step 5: Solve for x
    x = 820,769.00/1,023.16
  6. Step 6: Final answer
    x = 802.19

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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.