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Finding the Fourth Proportional to 1,145.04, 1,580.34 and 673.02

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Solution

The fourth proportional to 1,145.04, 1,580.34 and 673.02 is: 928.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.04 : 1,580.34 = 673.02 : x
  2. Step 2: Convert to fraction form
    1,145.04/1,580.34 = 673.02/x
  3. Step 3: Cross multiply
    1,145.04x = 1,580.34 × 673.02
  4. Step 4: Simplify right side
    1,145.04x = 1,063,600.43
  5. Step 5: Solve for x
    x = 1,063,600.43/1,145.04
  6. Step 6: Final answer
    x = 928.88

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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.