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Finding the Fourth Proportional to 1,156.25, 1,734.44 and 416.00

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Solution

The fourth proportional to 1,156.25, 1,734.44 and 416.00 is: 624.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.25 : 1,734.44 = 416.00 : x
  2. Step 2: Convert to fraction form
    1,156.25/1,734.44 = 416.00/x
  3. Step 3: Cross multiply
    1,156.25x = 1,734.44 × 416.00
  4. Step 4: Simplify right side
    1,156.25x = 721,516.29
  5. Step 5: Solve for x
    x = 721,516.29/1,156.25
  6. Step 6: Final answer
    x = 624.02

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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.