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Finding the Fourth Proportional to 597.66, 890.00 and 595.50

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Solution

The fourth proportional to 597.66, 890.00 and 595.50 is: 886.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.66 : 890.00 = 595.50 : x
  2. Step 2: Convert to fraction form
    597.66/890.00 = 595.50/x
  3. Step 3: Cross multiply
    597.66x = 890.00 × 595.50
  4. Step 4: Simplify right side
    597.66x = 529,992.02
  5. Step 5: Solve for x
    x = 529,992.02/597.66
  6. Step 6: Final answer
    x = 886.78

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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.