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Finding the Fourth Proportional to 1,052.18, 1,452.11 and 610.05

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Solution

The fourth proportional to 1,052.18, 1,452.11 and 610.05 is: 841.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.18 : 1,452.11 = 610.05 : x
  2. Step 2: Convert to fraction form
    1,052.18/1,452.11 = 610.05/x
  3. Step 3: Cross multiply
    1,052.18x = 1,452.11 × 610.05
  4. Step 4: Simplify right side
    1,052.18x = 885,859.71
  5. Step 5: Solve for x
    x = 885,859.71/1,052.18
  6. Step 6: Final answer
    x = 841.93

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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.