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Finding the Fourth Proportional to 593.84, 889.40 and 583.86

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Solution

The fourth proportional to 593.84, 889.40 and 583.86 is: 874.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.84 : 889.40 = 583.86 : x
  2. Step 2: Convert to fraction form
    593.84/889.40 = 583.86/x
  3. Step 3: Cross multiply
    593.84x = 889.40 × 583.86
  4. Step 4: Simplify right side
    593.84x = 519,285.08
  5. Step 5: Solve for x
    x = 519,285.08/593.84
  6. Step 6: Final answer
    x = 874.45

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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.