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Finding the Fourth Proportional to 1,072.29, 1,607.63 and 455.60

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Solution

The fourth proportional to 1,072.29, 1,607.63 and 455.60 is: 683.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.29 : 1,607.63 = 455.60 : x
  2. Step 2: Convert to fraction form
    1,072.29/1,607.63 = 455.60/x
  3. Step 3: Cross multiply
    1,072.29x = 1,607.63 × 455.60
  4. Step 4: Simplify right side
    1,072.29x = 732,425.91
  5. Step 5: Solve for x
    x = 732,425.91/1,072.29
  6. Step 6: Final answer
    x = 683.05

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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.