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Finding the Fourth Proportional to 1,131.53, 1,697.57 and 438.22

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Solution

The fourth proportional to 1,131.53, 1,697.57 and 438.22 is: 657.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.53 : 1,697.57 = 438.22 : x
  2. Step 2: Convert to fraction form
    1,131.53/1,697.57 = 438.22/x
  3. Step 3: Cross multiply
    1,131.53x = 1,697.57 × 438.22
  4. Step 4: Simplify right side
    1,131.53x = 743,898.45
  5. Step 5: Solve for x
    x = 743,898.45/1,131.53
  6. Step 6: Final answer
    x = 657.43

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Double scale
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Similar ratio
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1.5x scale

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.