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Finding the Fourth Proportional to 1,071.69, 1,607.77 and 455.41

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Solution

The fourth proportional to 1,071.69, 1,607.77 and 455.41 is: 683.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.69 : 1,607.77 = 455.41 : x
  2. Step 2: Convert to fraction form
    1,071.69/1,607.77 = 455.41/x
  3. Step 3: Cross multiply
    1,071.69x = 1,607.77 × 455.41
  4. Step 4: Simplify right side
    1,071.69x = 732,193.40
  5. Step 5: Solve for x
    x = 732,193.40/1,071.69
  6. Step 6: Final answer
    x = 683.22

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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.