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Finding the Fourth Proportional to 1,564.53, 2,346.05 and 590.01

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Solution

The fourth proportional to 1,564.53, 2,346.05 and 590.01 is: 884.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.53 : 2,346.05 = 590.01 : x
  2. Step 2: Convert to fraction form
    1,564.53/2,346.05 = 590.01/x
  3. Step 3: Cross multiply
    1,564.53x = 2,346.05 × 590.01
  4. Step 4: Simplify right side
    1,564.53x = 1,384,190.01
  5. Step 5: Solve for x
    x = 1,384,190.01/1,564.53
  6. Step 6: Final answer
    x = 884.73

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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.