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Finding the Fourth Proportional to 1,030.22, 1,421.41 and 610.39

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Solution

The fourth proportional to 1,030.22, 1,421.41 and 610.39 is: 842.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.22 : 1,421.41 = 610.39 : x
  2. Step 2: Convert to fraction form
    1,030.22/1,421.41 = 610.39/x
  3. Step 3: Cross multiply
    1,030.22x = 1,421.41 × 610.39
  4. Step 4: Simplify right side
    1,030.22x = 867,614.45
  5. Step 5: Solve for x
    x = 867,614.45/1,030.22
  6. Step 6: Final answer
    x = 842.16

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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.