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Finding the Fourth Proportional to 1,052.06, 1,451.86 and 610.00

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Solution

The fourth proportional to 1,052.06, 1,451.86 and 610.00 is: 841.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.06 : 1,451.86 = 610.00 : x
  2. Step 2: Convert to fraction form
    1,052.06/1,451.86 = 610.00/x
  3. Step 3: Cross multiply
    1,052.06x = 1,451.86 × 610.00
  4. Step 4: Simplify right side
    1,052.06x = 885,629.45
  5. Step 5: Solve for x
    x = 885,629.45/1,052.06
  6. Step 6: Final answer
    x = 841.81

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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.