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Finding the Fourth Proportional to 1,175.32, 1,771.06 and 974.40

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Solution

The fourth proportional to 1,175.32, 1,771.06 and 974.40 is: 1,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.32 : 1,771.06 = 974.40 : x
  2. Step 2: Convert to fraction form
    1,175.32/1,771.06 = 974.40/x
  3. Step 3: Cross multiply
    1,175.32x = 1,771.06 × 974.40
  4. Step 4: Simplify right side
    1,175.32x = 1,725,720.86
  5. Step 5: Solve for x
    x = 1,725,720.86/1,175.32
  6. Step 6: Final answer
    x = 1,468.30

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