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Finding the Fourth Proportional to 1,150.69, 1,725.08 and 456.93

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Solution

The fourth proportional to 1,150.69, 1,725.08 and 456.93 is: 685.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.69 : 1,725.08 = 456.93 : x
  2. Step 2: Convert to fraction form
    1,150.69/1,725.08 = 456.93/x
  3. Step 3: Cross multiply
    1,150.69x = 1,725.08 × 456.93
  4. Step 4: Simplify right side
    1,150.69x = 788,240.80
  5. Step 5: Solve for x
    x = 788,240.80/1,150.69
  6. Step 6: Final answer
    x = 685.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.