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Finding the Fourth Proportional to 1,146.22, 1,581.43 and 703.84

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Solution

The fourth proportional to 1,146.22, 1,581.43 and 703.84 is: 971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.22 : 1,581.43 = 703.84 : x
  2. Step 2: Convert to fraction form
    1,146.22/1,581.43 = 703.84/x
  3. Step 3: Cross multiply
    1,146.22x = 1,581.43 × 703.84
  4. Step 4: Simplify right side
    1,146.22x = 1,113,062.26
  5. Step 5: Solve for x
    x = 1,113,062.26/1,146.22
  6. Step 6: Final answer
    x = 971.08

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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.