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Finding the Fourth Proportional to 784.40, 1,176.30 and 476.64

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Solution

The fourth proportional to 784.40, 1,176.30 and 476.64 is: 714.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.40 : 1,176.30 = 476.64 : x
  2. Step 2: Convert to fraction form
    784.40/1,176.30 = 476.64/x
  3. Step 3: Cross multiply
    784.40x = 1,176.30 × 476.64
  4. Step 4: Simplify right side
    784.40x = 560,671.63
  5. Step 5: Solve for x
    x = 560,671.63/784.40
  6. Step 6: Final answer
    x = 714.78

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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.