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Finding the Fourth Proportional to 946.04, 1,420.14 and 621.32

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Solution

The fourth proportional to 946.04, 1,420.14 and 621.32 is: 932.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.04 : 1,420.14 = 621.32 : x
  2. Step 2: Convert to fraction form
    946.04/1,420.14 = 621.32/x
  3. Step 3: Cross multiply
    946.04x = 1,420.14 × 621.32
  4. Step 4: Simplify right side
    946.04x = 882,361.38
  5. Step 5: Solve for x
    x = 882,361.38/946.04
  6. Step 6: Final answer
    x = 932.69

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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.