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Finding the Fourth Proportional to 1,588.82, 2,382.96 and 614.40

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Solution

The fourth proportional to 1,588.82, 2,382.96 and 614.40 is: 921.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.82 : 2,382.96 = 614.40 : x
  2. Step 2: Convert to fraction form
    1,588.82/2,382.96 = 614.40/x
  3. Step 3: Cross multiply
    1,588.82x = 2,382.96 × 614.40
  4. Step 4: Simplify right side
    1,588.82x = 1,464,090.62
  5. Step 5: Solve for x
    x = 1,464,090.62/1,588.82
  6. Step 6: Final answer
    x = 921.50

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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.