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Finding the Fourth Proportional to 675.59, 1,008.50 and 593.58

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Solution

The fourth proportional to 675.59, 1,008.50 and 593.58 is: 886.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.59 : 1,008.50 = 593.58 : x
  2. Step 2: Convert to fraction form
    675.59/1,008.50 = 593.58/x
  3. Step 3: Cross multiply
    675.59x = 1,008.50 × 593.58
  4. Step 4: Simplify right side
    675.59x = 598,623.91
  5. Step 5: Solve for x
    x = 598,623.91/675.59
  6. Step 6: Final answer
    x = 886.07

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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.