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Finding the Fourth Proportional to 1,155.79, 1,733.55 and 462.43

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Solution

The fourth proportional to 1,155.79, 1,733.55 and 462.43 is: 693.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.79 : 1,733.55 = 462.43 : x
  2. Step 2: Convert to fraction form
    1,155.79/1,733.55 = 462.43/x
  3. Step 3: Cross multiply
    1,155.79x = 1,733.55 × 462.43
  4. Step 4: Simplify right side
    1,155.79x = 801,645.53
  5. Step 5: Solve for x
    x = 801,645.53/1,155.79
  6. Step 6: Final answer
    x = 693.59

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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.