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Finding the Fourth Proportional to 1,534.55, 2,301.21 and 668.25

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Solution

The fourth proportional to 1,534.55, 2,301.21 and 668.25 is: 1,002.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.55 : 2,301.21 = 668.25 : x
  2. Step 2: Convert to fraction form
    1,534.55/2,301.21 = 668.25/x
  3. Step 3: Cross multiply
    1,534.55x = 2,301.21 × 668.25
  4. Step 4: Simplify right side
    1,534.55x = 1,537,783.58
  5. Step 5: Solve for x
    x = 1,537,783.58/1,534.55
  6. Step 6: Final answer
    x = 1,002.11

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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.