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Finding the Fourth Proportional to 1,141.34, 1,710.51 and 524.96

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Solution

The fourth proportional to 1,141.34, 1,710.51 and 524.96 is: 786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.34 : 1,710.51 = 524.96 : x
  2. Step 2: Convert to fraction form
    1,141.34/1,710.51 = 524.96/x
  3. Step 3: Cross multiply
    1,141.34x = 1,710.51 × 524.96
  4. Step 4: Simplify right side
    1,141.34x = 897,949.33
  5. Step 5: Solve for x
    x = 897,949.33/1,141.34
  6. Step 6: Final answer
    x = 786.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.