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Finding the Fourth Proportional to 1,534.54, 2,302.16 and 669.10

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Solution

The fourth proportional to 1,534.54, 2,302.16 and 669.10 is: 1,003.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.54 : 2,302.16 = 669.10 : x
  2. Step 2: Convert to fraction form
    1,534.54/2,302.16 = 669.10/x
  3. Step 3: Cross multiply
    1,534.54x = 2,302.16 × 669.10
  4. Step 4: Simplify right side
    1,534.54x = 1,540,375.26
  5. Step 5: Solve for x
    x = 1,540,375.26/1,534.54
  6. Step 6: Final answer
    x = 1,003.80

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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.