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Finding the Fourth Proportional to 1,155.83, 1,734.11 and 462.88

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Solution

The fourth proportional to 1,155.83, 1,734.11 and 462.88 is: 694.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.83 : 1,734.11 = 462.88 : x
  2. Step 2: Convert to fraction form
    1,155.83/1,734.11 = 462.88/x
  3. Step 3: Cross multiply
    1,155.83x = 1,734.11 × 462.88
  4. Step 4: Simplify right side
    1,155.83x = 802,673.85
  5. Step 5: Solve for x
    x = 802,673.85/1,155.83
  6. Step 6: Final answer
    x = 694.46

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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.