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Finding the Fourth Proportional to 1,155.76, 1,734 and 462.64

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Solution

The fourth proportional to 1,155.76, 1,734 and 462.64 is: 694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.76 : 1,734 = 462.64 : x
  2. Step 2: Convert to fraction form
    1,155.76/1,734 = 462.64/x
  3. Step 3: Cross multiply
    1,155.76x = 1,734 × 462.64
  4. Step 4: Simplify right side
    1,155.76x = 802,217.76
  5. Step 5: Solve for x
    x = 802,217.76/1,155.76
  6. Step 6: Final answer
    x = 694.10

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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.