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Finding the Fourth Proportional to 837.45, 1,155.30 and 588.93

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Solution

The fourth proportional to 837.45, 1,155.30 and 588.93 is: 812.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.45 : 1,155.30 = 588.93 : x
  2. Step 2: Convert to fraction form
    837.45/1,155.30 = 588.93/x
  3. Step 3: Cross multiply
    837.45x = 1,155.30 × 588.93
  4. Step 4: Simplify right side
    837.45x = 680,385.05
  5. Step 5: Solve for x
    x = 680,385.05/837.45
  6. Step 6: Final answer
    x = 812.45

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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.