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Finding the Fourth Proportional to 1,141.07, 1,575.69 and 722.18

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Solution

The fourth proportional to 1,141.07, 1,575.69 and 722.18 is: 997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.07 : 1,575.69 = 722.18 : x
  2. Step 2: Convert to fraction form
    1,141.07/1,575.69 = 722.18/x
  3. Step 3: Cross multiply
    1,141.07x = 1,575.69 × 722.18
  4. Step 4: Simplify right side
    1,141.07x = 1,137,931.80
  5. Step 5: Solve for x
    x = 1,137,931.80/1,141.07
  6. Step 6: Final answer
    x = 997.25

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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.