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Finding the Fourth Proportional to 1,563.65, 2,346.56 and 590.57

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Solution

The fourth proportional to 1,563.65, 2,346.56 and 590.57 is: 886.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.65 : 2,346.56 = 590.57 : x
  2. Step 2: Convert to fraction form
    1,563.65/2,346.56 = 590.57/x
  3. Step 3: Cross multiply
    1,563.65x = 2,346.56 × 590.57
  4. Step 4: Simplify right side
    1,563.65x = 1,385,807.94
  5. Step 5: Solve for x
    x = 1,385,807.94/1,563.65
  6. Step 6: Final answer
    x = 886.26

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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.