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Finding the Fourth Proportional to 601.27, 896.71 and 587.30

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Solution

The fourth proportional to 601.27, 896.71 and 587.30 is: 875.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.27 : 896.71 = 587.30 : x
  2. Step 2: Convert to fraction form
    601.27/896.71 = 587.30/x
  3. Step 3: Cross multiply
    601.27x = 896.71 × 587.30
  4. Step 4: Simplify right side
    601.27x = 526,637.78
  5. Step 5: Solve for x
    x = 526,637.78/601.27
  6. Step 6: Final answer
    x = 875.88

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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.