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Finding the Fourth Proportional to 704.84, 1,057.02 and 457.89

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Solution

The fourth proportional to 704.84, 1,057.02 and 457.89 is: 686.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.84 : 1,057.02 = 457.89 : x
  2. Step 2: Convert to fraction form
    704.84/1,057.02 = 457.89/x
  3. Step 3: Cross multiply
    704.84x = 1,057.02 × 457.89
  4. Step 4: Simplify right side
    704.84x = 483,998.89
  5. Step 5: Solve for x
    x = 483,998.89/704.84
  6. Step 6: Final answer
    x = 686.68

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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.