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Finding the Fourth Proportional to 1,164.43, 1,607.84 and 932.59

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Solution

The fourth proportional to 1,164.43, 1,607.84 and 932.59 is: 1,287.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.43 : 1,607.84 = 932.59 : x
  2. Step 2: Convert to fraction form
    1,164.43/1,607.84 = 932.59/x
  3. Step 3: Cross multiply
    1,164.43x = 1,607.84 × 932.59
  4. Step 4: Simplify right side
    1,164.43x = 1,499,455.51
  5. Step 5: Solve for x
    x = 1,499,455.51/1,164.43
  6. Step 6: Final answer
    x = 1,287.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.