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Finding the Fourth Proportional to 1,140.53, 1,710.97 and 491.27

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Solution

The fourth proportional to 1,140.53, 1,710.97 and 491.27 is: 736.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.53 : 1,710.97 = 491.27 : x
  2. Step 2: Convert to fraction form
    1,140.53/1,710.97 = 491.27/x
  3. Step 3: Cross multiply
    1,140.53x = 1,710.97 × 491.27
  4. Step 4: Simplify right side
    1,140.53x = 840,538.45
  5. Step 5: Solve for x
    x = 840,538.45/1,140.53
  6. Step 6: Final answer
    x = 736.98

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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.