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Finding the Fourth Proportional to 1,156.43, 1,742.45 and 955.51

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Solution

The fourth proportional to 1,156.43, 1,742.45 and 955.51 is: 1,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.43 : 1,742.45 = 955.51 : x
  2. Step 2: Convert to fraction form
    1,156.43/1,742.45 = 955.51/x
  3. Step 3: Cross multiply
    1,156.43x = 1,742.45 × 955.51
  4. Step 4: Simplify right side
    1,156.43x = 1,664,919.27
  5. Step 5: Solve for x
    x = 1,664,919.27/1,156.43
  6. Step 6: Final answer
    x = 1,439.70

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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.