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Finding the Fourth Proportional to 1,150.56, 1,725.65 and 457.19

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Solution

The fourth proportional to 1,150.56, 1,725.65 and 457.19 is: 685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.56 : 1,725.65 = 457.19 : x
  2. Step 2: Convert to fraction form
    1,150.56/1,725.65 = 457.19/x
  3. Step 3: Cross multiply
    1,150.56x = 1,725.65 × 457.19
  4. Step 4: Simplify right side
    1,150.56x = 788,939.01
  5. Step 5: Solve for x
    x = 788,939.01/1,150.56
  6. Step 6: Final answer
    x = 685.70

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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.