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Finding the Fourth Proportional to 1,145.80, 1,581.06 and 948.52

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Solution

The fourth proportional to 1,145.80, 1,581.06 and 948.52 is: 1,308.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.80 : 1,581.06 = 948.52 : x
  2. Step 2: Convert to fraction form
    1,145.80/1,581.06 = 948.52/x
  3. Step 3: Cross multiply
    1,145.80x = 1,581.06 × 948.52
  4. Step 4: Simplify right side
    1,145.80x = 1,499,667.03
  5. Step 5: Solve for x
    x = 1,499,667.03/1,145.80
  6. Step 6: Final answer
    x = 1,308.84

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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.