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Finding the Fourth Proportional to 1,146.19, 1,581.74 and 704.09

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Solution

The fourth proportional to 1,146.19, 1,581.74 and 704.09 is: 971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.19 : 1,581.74 = 704.09 : x
  2. Step 2: Convert to fraction form
    1,146.19/1,581.74 = 704.09/x
  3. Step 3: Cross multiply
    1,146.19x = 1,581.74 × 704.09
  4. Step 4: Simplify right side
    1,146.19x = 1,113,681.17
  5. Step 5: Solve for x
    x = 1,113,681.17/1,146.19
  6. Step 6: Final answer
    x = 971.64

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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.