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Finding the Fourth Proportional to 1,141.34, 1,575.12 and 643.89

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Solution

The fourth proportional to 1,141.34, 1,575.12 and 643.89 is: 888.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.34 : 1,575.12 = 643.89 : x
  2. Step 2: Convert to fraction form
    1,141.34/1,575.12 = 643.89/x
  3. Step 3: Cross multiply
    1,141.34x = 1,575.12 × 643.89
  4. Step 4: Simplify right side
    1,141.34x = 1,014,204.02
  5. Step 5: Solve for x
    x = 1,014,204.02/1,141.34
  6. Step 6: Final answer
    x = 888.61

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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.