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Finding the Fourth Proportional to 946.65, 1,420.32 and 459.75

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Solution

The fourth proportional to 946.65, 1,420.32 and 459.75 is: 689.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.65 : 1,420.32 = 459.75 : x
  2. Step 2: Convert to fraction form
    946.65/1,420.32 = 459.75/x
  3. Step 3: Cross multiply
    946.65x = 1,420.32 × 459.75
  4. Step 4: Simplify right side
    946.65x = 652,992.12
  5. Step 5: Solve for x
    x = 652,992.12/946.65
  6. Step 6: Final answer
    x = 689.79

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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.