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Finding the Fourth Proportional to 1,145.14, 1,580.30 and 672.94

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Solution

The fourth proportional to 1,145.14, 1,580.30 and 672.94 is: 928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.14 : 1,580.30 = 672.94 : x
  2. Step 2: Convert to fraction form
    1,145.14/1,580.30 = 672.94/x
  3. Step 3: Cross multiply
    1,145.14x = 1,580.30 × 672.94
  4. Step 4: Simplify right side
    1,145.14x = 1,063,447.08
  5. Step 5: Solve for x
    x = 1,063,447.08/1,145.14
  6. Step 6: Final answer
    x = 928.66

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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.