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Finding the Fourth Proportional to 695.14, 1,043.64 and 593.08

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Solution

The fourth proportional to 695.14, 1,043.64 and 593.08 is: 890.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.14 : 1,043.64 = 593.08 : x
  2. Step 2: Convert to fraction form
    695.14/1,043.64 = 593.08/x
  3. Step 3: Cross multiply
    695.14x = 1,043.64 × 593.08
  4. Step 4: Simplify right side
    695.14x = 618,962.01
  5. Step 5: Solve for x
    x = 618,962.01/695.14
  6. Step 6: Final answer
    x = 890.41

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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.