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Finding the Fourth Proportional to 704.80, 1,056.88 and 457.76

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Solution

The fourth proportional to 704.80, 1,056.88 and 457.76 is: 686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.80 : 1,056.88 = 457.76 : x
  2. Step 2: Convert to fraction form
    704.80/1,056.88 = 457.76/x
  3. Step 3: Cross multiply
    704.80x = 1,056.88 × 457.76
  4. Step 4: Simplify right side
    704.80x = 483,797.39
  5. Step 5: Solve for x
    x = 483,797.39/704.80
  6. Step 6: Final answer
    x = 686.43

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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.