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Finding the Fourth Proportional to 1,356.57, 2,035.71 and 524.34

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Solution

The fourth proportional to 1,356.57, 2,035.71 and 524.34 is: 786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.57 : 2,035.71 = 524.34 : x
  2. Step 2: Convert to fraction form
    1,356.57/2,035.71 = 524.34/x
  3. Step 3: Cross multiply
    1,356.57x = 2,035.71 × 524.34
  4. Step 4: Simplify right side
    1,356.57x = 1,067,404.18
  5. Step 5: Solve for x
    x = 1,067,404.18/1,356.57
  6. Step 6: Final answer
    x = 786.84

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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.