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Finding the Fourth Proportional to 1,315.88, 1,973.82 and 546.38

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Solution

The fourth proportional to 1,315.88, 1,973.82 and 546.38 is: 819.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.88 : 1,973.82 = 546.38 : x
  2. Step 2: Convert to fraction form
    1,315.88/1,973.82 = 546.38/x
  3. Step 3: Cross multiply
    1,315.88x = 1,973.82 × 546.38
  4. Step 4: Simplify right side
    1,315.88x = 1,078,445.90
  5. Step 5: Solve for x
    x = 1,078,445.90/1,315.88
  6. Step 6: Final answer
    x = 819.57

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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.