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Finding the Fourth Proportional to 958.40, 1,436.64 and 547.04

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Solution

The fourth proportional to 958.40, 1,436.64 and 547.04 is: 820.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.40 : 1,436.64 = 547.04 : x
  2. Step 2: Convert to fraction form
    958.40/1,436.64 = 547.04/x
  3. Step 3: Cross multiply
    958.40x = 1,436.64 × 547.04
  4. Step 4: Simplify right side
    958.40x = 785,899.55
  5. Step 5: Solve for x
    x = 785,899.55/958.40
  6. Step 6: Final answer
    x = 820.01

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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.