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Finding the Fourth Proportional to 632.59, 946.32 and 595.75

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Solution

The fourth proportional to 632.59, 946.32 and 595.75 is: 891.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.59 : 946.32 = 595.75 : x
  2. Step 2: Convert to fraction form
    632.59/946.32 = 595.75/x
  3. Step 3: Cross multiply
    632.59x = 946.32 × 595.75
  4. Step 4: Simplify right side
    632.59x = 563,770.14
  5. Step 5: Solve for x
    x = 563,770.14/632.59
  6. Step 6: Final answer
    x = 891.21

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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.