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Finding the Fourth Proportional to 1,022.34, 1,410.93 and 580.26

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Solution

The fourth proportional to 1,022.34, 1,410.93 and 580.26 is: 800.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.34 : 1,410.93 = 580.26 : x
  2. Step 2: Convert to fraction form
    1,022.34/1,410.93 = 580.26/x
  3. Step 3: Cross multiply
    1,022.34x = 1,410.93 × 580.26
  4. Step 4: Simplify right side
    1,022.34x = 818,706.24
  5. Step 5: Solve for x
    x = 818,706.24/1,022.34
  6. Step 6: Final answer
    x = 800.82

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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.