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Finding the Fourth Proportional to 1,071.18, 1,605.22 and 454.55

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Solution

The fourth proportional to 1,071.18, 1,605.22 and 454.55 is: 681.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.18 : 1,605.22 = 454.55 : x
  2. Step 2: Convert to fraction form
    1,071.18/1,605.22 = 454.55/x
  3. Step 3: Cross multiply
    1,071.18x = 1,605.22 × 454.55
  4. Step 4: Simplify right side
    1,071.18x = 729,643.59
  5. Step 5: Solve for x
    x = 729,643.59/1,071.18
  6. Step 6: Final answer
    x = 681.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.