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Finding the Fourth Proportional to 837.76, 1,156.36 and 575.74

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Solution

The fourth proportional to 837.76, 1,156.36 and 575.74 is: 794.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.76 : 1,156.36 = 575.74 : x
  2. Step 2: Convert to fraction form
    837.76/1,156.36 = 575.74/x
  3. Step 3: Cross multiply
    837.76x = 1,156.36 × 575.74
  4. Step 4: Simplify right side
    837.76x = 665,762.71
  5. Step 5: Solve for x
    x = 665,762.71/837.76
  6. Step 6: Final answer
    x = 794.69

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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.