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Finding the Fourth Proportional to 1,070.85, 1,606.24 and 454.16

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Solution

The fourth proportional to 1,070.85, 1,606.24 and 454.16 is: 681.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.85 : 1,606.24 = 454.16 : x
  2. Step 2: Convert to fraction form
    1,070.85/1,606.24 = 454.16/x
  3. Step 3: Cross multiply
    1,070.85x = 1,606.24 × 454.16
  4. Step 4: Simplify right side
    1,070.85x = 729,489.96
  5. Step 5: Solve for x
    x = 729,489.96/1,070.85
  6. Step 6: Final answer
    x = 681.23

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