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Finding the Fourth Proportional to 1,052.19, 1,451.86 and 610.13

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Solution

The fourth proportional to 1,052.19, 1,451.86 and 610.13 is: 841.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.19 : 1,451.86 = 610.13 : x
  2. Step 2: Convert to fraction form
    1,052.19/1,451.86 = 610.13/x
  3. Step 3: Cross multiply
    1,052.19x = 1,451.86 × 610.13
  4. Step 4: Simplify right side
    1,052.19x = 885,825.45
  5. Step 5: Solve for x
    x = 885,825.45/1,052.19
  6. Step 6: Final answer
    x = 841.89

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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.