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Finding the Fourth Proportional to 1,145.92, 1,580.56 and 704.07

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Solution

The fourth proportional to 1,145.92, 1,580.56 and 704.07 is: 971.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.92 : 1,580.56 = 704.07 : x
  2. Step 2: Convert to fraction form
    1,145.92/1,580.56 = 704.07/x
  3. Step 3: Cross multiply
    1,145.92x = 1,580.56 × 704.07
  4. Step 4: Simplify right side
    1,145.92x = 1,112,824.88
  5. Step 5: Solve for x
    x = 1,112,824.88/1,145.92
  6. Step 6: Final answer
    x = 971.12

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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.