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Finding the Fourth Proportional to 1,302.07, 1,795.76 and 1,172.47

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Solution

The fourth proportional to 1,302.07, 1,795.76 and 1,172.47 is: 1,617.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.07 : 1,795.76 = 1,172.47 : x
  2. Step 2: Convert to fraction form
    1,302.07/1,795.76 = 1,172.47/x
  3. Step 3: Cross multiply
    1,302.07x = 1,795.76 × 1,172.47
  4. Step 4: Simplify right side
    1,302.07x = 2,105,468.86
  5. Step 5: Solve for x
    x = 2,105,468.86/1,302.07
  6. Step 6: Final answer
    x = 1,617.02

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