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Finding the Fourth Proportional to 1,029.70, 1,421.29 and 891.30

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Solution

The fourth proportional to 1,029.70, 1,421.29 and 891.30 is: 1,230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.70 : 1,421.29 = 891.30 : x
  2. Step 2: Convert to fraction form
    1,029.70/1,421.29 = 891.30/x
  3. Step 3: Cross multiply
    1,029.70x = 1,421.29 × 891.30
  4. Step 4: Simplify right side
    1,029.70x = 1,266,795.78
  5. Step 5: Solve for x
    x = 1,266,795.78/1,029.70
  6. Step 6: Final answer
    x = 1,230.26

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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.