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Finding the Fourth Proportional to 1,164.32, 1,605.14 and 790.72

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Solution

The fourth proportional to 1,164.32, 1,605.14 and 790.72 is: 1,090.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.32 : 1,605.14 = 790.72 : x
  2. Step 2: Convert to fraction form
    1,164.32/1,605.14 = 790.72/x
  3. Step 3: Cross multiply
    1,164.32x = 1,605.14 × 790.72
  4. Step 4: Simplify right side
    1,164.32x = 1,269,216.30
  5. Step 5: Solve for x
    x = 1,269,216.30/1,164.32
  6. Step 6: Final answer
    x = 1,090.09

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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.