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Finding the Fourth Proportional to 1,172.60, 1,618.50 and 730.23

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Solution

The fourth proportional to 1,172.60, 1,618.50 and 730.23 is: 1,007.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.60 : 1,618.50 = 730.23 : x
  2. Step 2: Convert to fraction form
    1,172.60/1,618.50 = 730.23/x
  3. Step 3: Cross multiply
    1,172.60x = 1,618.50 × 730.23
  4. Step 4: Simplify right side
    1,172.60x = 1,181,877.26
  5. Step 5: Solve for x
    x = 1,181,877.26/1,172.60
  6. Step 6: Final answer
    x = 1,007.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.