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Finding the Fourth Proportional to 1,563.42, 2,346.10 and 590.22

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Solution

The fourth proportional to 1,563.42, 2,346.10 and 590.22 is: 885.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.42 : 2,346.10 = 590.22 : x
  2. Step 2: Convert to fraction form
    1,563.42/2,346.10 = 590.22/x
  3. Step 3: Cross multiply
    1,563.42x = 2,346.10 × 590.22
  4. Step 4: Simplify right side
    1,563.42x = 1,384,715.14
  5. Step 5: Solve for x
    x = 1,384,715.14/1,563.42
  6. Step 6: Final answer
    x = 885.70

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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.