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Finding the Fourth Proportional to 1,676.95, 2,515.66 and 566.03

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Solution

The fourth proportional to 1,676.95, 2,515.66 and 566.03 is: 849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.95 : 2,515.66 = 566.03 : x
  2. Step 2: Convert to fraction form
    1,676.95/2,515.66 = 566.03/x
  3. Step 3: Cross multiply
    1,676.95x = 2,515.66 × 566.03
  4. Step 4: Simplify right side
    1,676.95x = 1,423,943.90
  5. Step 5: Solve for x
    x = 1,423,943.90/1,676.95
  6. Step 6: Final answer
    x = 849.13

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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.