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Finding the Fourth Proportional to 1,034.88, 1,551.96 and 341.40

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Solution

The fourth proportional to 1,034.88, 1,551.96 and 341.40 is: 511.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.88 : 1,551.96 = 341.40 : x
  2. Step 2: Convert to fraction form
    1,034.88/1,551.96 = 341.40/x
  3. Step 3: Cross multiply
    1,034.88x = 1,551.96 × 341.40
  4. Step 4: Simplify right side
    1,034.88x = 529,839.14
  5. Step 5: Solve for x
    x = 529,839.14/1,034.88
  6. Step 6: Final answer
    x = 511.98

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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.