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Finding the Fourth Proportional to 837.32, 1,155.98 and 557.94

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Solution

The fourth proportional to 837.32, 1,155.98 and 557.94 is: 770.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.32 : 1,155.98 = 557.94 : x
  2. Step 2: Convert to fraction form
    837.32/1,155.98 = 557.94/x
  3. Step 3: Cross multiply
    837.32x = 1,155.98 × 557.94
  4. Step 4: Simplify right side
    837.32x = 644,964.69
  5. Step 5: Solve for x
    x = 644,964.69/837.32
  6. Step 6: Final answer
    x = 770.28

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Why These Related Problems?

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