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Finding the Fourth Proportional to 597.88, 896.76 and 580.06

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Solution

The fourth proportional to 597.88, 896.76 and 580.06 is: 870.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.88 : 896.76 = 580.06 : x
  2. Step 2: Convert to fraction form
    597.88/896.76 = 580.06/x
  3. Step 3: Cross multiply
    597.88x = 896.76 × 580.06
  4. Step 4: Simplify right side
    597.88x = 520,174.61
  5. Step 5: Solve for x
    x = 520,174.61/597.88
  6. Step 6: Final answer
    x = 870.03

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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.