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Finding the Fourth Proportional to 632.07, 946.89 and 610.61

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Solution

The fourth proportional to 632.07, 946.89 and 610.61 is: 914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.07 : 946.89 = 610.61 : x
  2. Step 2: Convert to fraction form
    632.07/946.89 = 610.61/x
  3. Step 3: Cross multiply
    632.07x = 946.89 × 610.61
  4. Step 4: Simplify right side
    632.07x = 578,175.77
  5. Step 5: Solve for x
    x = 578,175.77/632.07
  6. Step 6: Final answer
    x = 914.73

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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.