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Finding the Fourth Proportional to 1,172.60, 1,617.38 and 951.56

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Solution

The fourth proportional to 1,172.60, 1,617.38 and 951.56 is: 1,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.60 : 1,617.38 = 951.56 : x
  2. Step 2: Convert to fraction form
    1,172.60/1,617.38 = 951.56/x
  3. Step 3: Cross multiply
    1,172.60x = 1,617.38 × 951.56
  4. Step 4: Simplify right side
    1,172.60x = 1,539,034.11
  5. Step 5: Solve for x
    x = 1,539,034.11/1,172.60
  6. Step 6: Final answer
    x = 1,312.50

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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.