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Finding the Fourth Proportional to 601.17, 896.48 and 586.59

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Solution

The fourth proportional to 601.17, 896.48 and 586.59 is: 874.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.17 : 896.48 = 586.59 : x
  2. Step 2: Convert to fraction form
    601.17/896.48 = 586.59/x
  3. Step 3: Cross multiply
    601.17x = 896.48 × 586.59
  4. Step 4: Simplify right side
    601.17x = 525,863.27
  5. Step 5: Solve for x
    x = 525,863.27/601.17
  6. Step 6: Final answer
    x = 874.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.