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Finding the Fourth Proportional to 1,140.58, 1,709.71 and 524.73

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Solution

The fourth proportional to 1,140.58, 1,709.71 and 524.73 is: 786.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.58 : 1,709.71 = 524.73 : x
  2. Step 2: Convert to fraction form
    1,140.58/1,709.71 = 524.73/x
  3. Step 3: Cross multiply
    1,140.58x = 1,709.71 × 524.73
  4. Step 4: Simplify right side
    1,140.58x = 897,136.13
  5. Step 5: Solve for x
    x = 897,136.13/1,140.58
  6. Step 6: Final answer
    x = 786.56

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Why These Related Problems?

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