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Finding the Fourth Proportional to 1,165.66, 1,610.93 and 955.51

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Solution

The fourth proportional to 1,165.66, 1,610.93 and 955.51 is: 1,320.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.66 : 1,610.93 = 955.51 : x
  2. Step 2: Convert to fraction form
    1,165.66/1,610.93 = 955.51/x
  3. Step 3: Cross multiply
    1,165.66x = 1,610.93 × 955.51
  4. Step 4: Simplify right side
    1,165.66x = 1,539,258.09
  5. Step 5: Solve for x
    x = 1,539,258.09/1,165.66
  6. Step 6: Final answer
    x = 1,320.51

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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.