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Finding the Fourth Proportional to 946.40, 1,419.96 and 536

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Solution

The fourth proportional to 946.40, 1,419.96 and 536 is: 804.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.40 : 1,419.96 = 536 : x
  2. Step 2: Convert to fraction form
    946.40/1,419.96 = 536/x
  3. Step 3: Cross multiply
    946.40x = 1,419.96 × 536
  4. Step 4: Simplify right side
    946.40x = 761,098.56
  5. Step 5: Solve for x
    x = 761,098.56/946.40
  6. Step 6: Final answer
    x = 804.20

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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.