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Finding the Fourth Proportional to 1,155.59, 1,734.21 and 462.45

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Solution

The fourth proportional to 1,155.59, 1,734.21 and 462.45 is: 694.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.59 : 1,734.21 = 462.45 : x
  2. Step 2: Convert to fraction form
    1,155.59/1,734.21 = 462.45/x
  3. Step 3: Cross multiply
    1,155.59x = 1,734.21 × 462.45
  4. Step 4: Simplify right side
    1,155.59x = 801,980.70
  5. Step 5: Solve for x
    x = 801,980.70/1,155.59
  6. Step 6: Final answer
    x = 694.00

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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.