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Finding the Fourth Proportional to 946.32, 1,420.32 and 459.72

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Solution

The fourth proportional to 946.32, 1,420.32 and 459.72 is: 689.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.32 : 1,420.32 = 459.72 : x
  2. Step 2: Convert to fraction form
    946.32/1,420.32 = 459.72/x
  3. Step 3: Cross multiply
    946.32x = 1,420.32 × 459.72
  4. Step 4: Simplify right side
    946.32x = 652,949.51
  5. Step 5: Solve for x
    x = 652,949.51/946.32
  6. Step 6: Final answer
    x = 689.99

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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.