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Finding the Fourth Proportional to 1,534.42, 2,301.63 and 668.53

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Solution

The fourth proportional to 1,534.42, 2,301.63 and 668.53 is: 1,002.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.42 : 2,301.63 = 668.53 : x
  2. Step 2: Convert to fraction form
    1,534.42/2,301.63 = 668.53/x
  3. Step 3: Cross multiply
    1,534.42x = 2,301.63 × 668.53
  4. Step 4: Simplify right side
    1,534.42x = 1,538,708.70
  5. Step 5: Solve for x
    x = 1,538,708.70/1,534.42
  6. Step 6: Final answer
    x = 1,002.80

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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.