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Finding the Fourth Proportional to 1,070.69, 1,606.33 and 454.48

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Solution

The fourth proportional to 1,070.69, 1,606.33 and 454.48 is: 681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.69 : 1,606.33 = 454.48 : x
  2. Step 2: Convert to fraction form
    1,070.69/1,606.33 = 454.48/x
  3. Step 3: Cross multiply
    1,070.69x = 1,606.33 × 454.48
  4. Step 4: Simplify right side
    1,070.69x = 730,041.41
  5. Step 5: Solve for x
    x = 730,041.41/1,070.69
  6. Step 6: Final answer
    x = 681.85

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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.