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Finding the Fourth Proportional to 1,259.03, 1,888.27 and 392.87

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Solution

The fourth proportional to 1,259.03, 1,888.27 and 392.87 is: 589.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.03 : 1,888.27 = 392.87 : x
  2. Step 2: Convert to fraction form
    1,259.03/1,888.27 = 392.87/x
  3. Step 3: Cross multiply
    1,259.03x = 1,888.27 × 392.87
  4. Step 4: Simplify right side
    1,259.03x = 741,834.21
  5. Step 5: Solve for x
    x = 741,834.21/1,259.03
  6. Step 6: Final answer
    x = 589.21

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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.