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Finding the Fourth Proportional to 1,172.50, 1,618.07 and 675.23

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Solution

The fourth proportional to 1,172.50, 1,618.07 and 675.23 is: 931.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.50 : 1,618.07 = 675.23 : x
  2. Step 2: Convert to fraction form
    1,172.50/1,618.07 = 675.23/x
  3. Step 3: Cross multiply
    1,172.50x = 1,618.07 × 675.23
  4. Step 4: Simplify right side
    1,172.50x = 1,092,566.03
  5. Step 5: Solve for x
    x = 1,092,566.03/1,172.50
  6. Step 6: Final answer
    x = 931.83

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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.