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Finding the Fourth Proportional to 837.88, 1,156.08 and 522.88

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Solution

The fourth proportional to 837.88, 1,156.08 and 522.88 is: 721.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.88 : 1,156.08 = 522.88 : x
  2. Step 2: Convert to fraction form
    837.88/1,156.08 = 522.88/x
  3. Step 3: Cross multiply
    837.88x = 1,156.08 × 522.88
  4. Step 4: Simplify right side
    837.88x = 604,491.11
  5. Step 5: Solve for x
    x = 604,491.11/837.88
  6. Step 6: Final answer
    x = 721.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.