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Finding the Fourth Proportional to 785.24, 1,176.04 and 476.40

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Solution

The fourth proportional to 785.24, 1,176.04 and 476.40 is: 713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.24 : 1,176.04 = 476.40 : x
  2. Step 2: Convert to fraction form
    785.24/1,176.04 = 476.40/x
  3. Step 3: Cross multiply
    785.24x = 1,176.04 × 476.40
  4. Step 4: Simplify right side
    785.24x = 560,265.46
  5. Step 5: Solve for x
    x = 560,265.46/785.24
  6. Step 6: Final answer
    x = 713.50

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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.