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Finding the Fourth Proportional to 697.66, 1,041.49 and 593.83

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Solution

The fourth proportional to 697.66, 1,041.49 and 593.83 is: 886.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.66 : 1,041.49 = 593.83 : x
  2. Step 2: Convert to fraction form
    697.66/1,041.49 = 593.83/x
  3. Step 3: Cross multiply
    697.66x = 1,041.49 × 593.83
  4. Step 4: Simplify right side
    697.66x = 618,468.01
  5. Step 5: Solve for x
    x = 618,468.01/697.66
  6. Step 6: Final answer
    x = 886.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.