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Finding the Fourth Proportional to 1,173.57, 1,768.40 and 972.64

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Solution

The fourth proportional to 1,173.57, 1,768.40 and 972.64 is: 1,465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.57 : 1,768.40 = 972.64 : x
  2. Step 2: Convert to fraction form
    1,173.57/1,768.40 = 972.64/x
  3. Step 3: Cross multiply
    1,173.57x = 1,768.40 × 972.64
  4. Step 4: Simplify right side
    1,173.57x = 1,720,016.58
  5. Step 5: Solve for x
    x = 1,720,016.58/1,173.57
  6. Step 6: Final answer
    x = 1,465.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.