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Finding the Fourth Proportional to 1,563.49, 2,346.05 and 589.87

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Solution

The fourth proportional to 1,563.49, 2,346.05 and 589.87 is: 885.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.49 : 2,346.05 = 589.87 : x
  2. Step 2: Convert to fraction form
    1,563.49/2,346.05 = 589.87/x
  3. Step 3: Cross multiply
    1,563.49x = 2,346.05 × 589.87
  4. Step 4: Simplify right side
    1,563.49x = 1,383,864.51
  5. Step 5: Solve for x
    x = 1,383,864.51/1,563.49
  6. Step 6: Final answer
    x = 885.11

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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.