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Finding the Fourth Proportional to 1,725.06, 2,585.78 and 750.90

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Solution

The fourth proportional to 1,725.06, 2,585.78 and 750.90 is: 1,125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.06 : 2,585.78 = 750.90 : x
  2. Step 2: Convert to fraction form
    1,725.06/2,585.78 = 750.90/x
  3. Step 3: Cross multiply
    1,725.06x = 2,585.78 × 750.90
  4. Step 4: Simplify right side
    1,725.06x = 1,941,662.20
  5. Step 5: Solve for x
    x = 1,941,662.20/1,725.06
  6. Step 6: Final answer
    x = 1,125.56

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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.