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Finding the Fourth Proportional to 1,029.72, 1,421.04 and 610.06

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Solution

The fourth proportional to 1,029.72, 1,421.04 and 610.06 is: 841.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.72 : 1,421.04 = 610.06 : x
  2. Step 2: Convert to fraction form
    1,029.72/1,421.04 = 610.06/x
  3. Step 3: Cross multiply
    1,029.72x = 1,421.04 × 610.06
  4. Step 4: Simplify right side
    1,029.72x = 866,919.66
  5. Step 5: Solve for x
    x = 866,919.66/1,029.72
  6. Step 6: Final answer
    x = 841.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.