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Finding the Fourth Proportional to 652.61, 975.39 and 600.72

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Solution

The fourth proportional to 652.61, 975.39 and 600.72 is: 897.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.61 : 975.39 = 600.72 : x
  2. Step 2: Convert to fraction form
    652.61/975.39 = 600.72/x
  3. Step 3: Cross multiply
    652.61x = 975.39 × 600.72
  4. Step 4: Simplify right side
    652.61x = 585,933.28
  5. Step 5: Solve for x
    x = 585,933.28/652.61
  6. Step 6: Final answer
    x = 897.83

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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.