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Finding the Fourth Proportional to 1,513.72, 2,270.84 and 589.26

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Solution

The fourth proportional to 1,513.72, 2,270.84 and 589.26 is: 883.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.72 : 2,270.84 = 589.26 : x
  2. Step 2: Convert to fraction form
    1,513.72/2,270.84 = 589.26/x
  3. Step 3: Cross multiply
    1,513.72x = 2,270.84 × 589.26
  4. Step 4: Simplify right side
    1,513.72x = 1,338,115.18
  5. Step 5: Solve for x
    x = 1,338,115.18/1,513.72
  6. Step 6: Final answer
    x = 883.99

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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.