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Finding the Fourth Proportional to 669.06, 1,002.59 and 596.07

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Solution

The fourth proportional to 669.06, 1,002.59 and 596.07 is: 893.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.06 : 1,002.59 = 596.07 : x
  2. Step 2: Convert to fraction form
    669.06/1,002.59 = 596.07/x
  3. Step 3: Cross multiply
    669.06x = 1,002.59 × 596.07
  4. Step 4: Simplify right side
    669.06x = 597,613.82
  5. Step 5: Solve for x
    x = 597,613.82/669.06
  6. Step 6: Final answer
    x = 893.21

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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.