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Finding the Fourth Proportional to 1,029.40, 1,421.40 and 675.60

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Solution

The fourth proportional to 1,029.40, 1,421.40 and 675.60 is: 932.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.40 : 1,421.40 = 675.60 : x
  2. Step 2: Convert to fraction form
    1,029.40/1,421.40 = 675.60/x
  3. Step 3: Cross multiply
    1,029.40x = 1,421.40 × 675.60
  4. Step 4: Simplify right side
    1,029.40x = 960,297.84
  5. Step 5: Solve for x
    x = 960,297.84/1,029.40
  6. Step 6: Final answer
    x = 932.87

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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.