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Finding the Fourth Proportional to 632.09, 946.82 and 585.95

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Solution

The fourth proportional to 632.09, 946.82 and 585.95 is: 877.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.09 : 946.82 = 585.95 : x
  2. Step 2: Convert to fraction form
    632.09/946.82 = 585.95/x
  3. Step 3: Cross multiply
    632.09x = 946.82 × 585.95
  4. Step 4: Simplify right side
    632.09x = 554,781.52
  5. Step 5: Solve for x
    x = 554,781.52/632.09
  6. Step 6: Final answer
    x = 877.70

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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.