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Finding the Fourth Proportional to 597.69, 896.94 and 593.13

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Solution

The fourth proportional to 597.69, 896.94 and 593.13 is: 890.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.69 : 896.94 = 593.13 : x
  2. Step 2: Convert to fraction form
    597.69/896.94 = 593.13/x
  3. Step 3: Cross multiply
    597.69x = 896.94 × 593.13
  4. Step 4: Simplify right side
    597.69x = 532,002.02
  5. Step 5: Solve for x
    x = 532,002.02/597.69
  6. Step 6: Final answer
    x = 890.10

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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.