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Finding the Fourth Proportional to 1,070.43, 1,605.89 and 454.16

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Solution

The fourth proportional to 1,070.43, 1,605.89 and 454.16 is: 681.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.43 : 1,605.89 = 454.16 : x
  2. Step 2: Convert to fraction form
    1,070.43/1,605.89 = 454.16/x
  3. Step 3: Cross multiply
    1,070.43x = 1,605.89 × 454.16
  4. Step 4: Simplify right side
    1,070.43x = 729,327.12
  5. Step 5: Solve for x
    x = 729,327.12/1,070.43
  6. Step 6: Final answer
    x = 681.34

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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.