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Finding the Fourth Proportional to 704.85, 1,056.97 and 542.65

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Solution

The fourth proportional to 704.85, 1,056.97 and 542.65 is: 813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.85 : 1,056.97 = 542.65 : x
  2. Step 2: Convert to fraction form
    704.85/1,056.97 = 542.65/x
  3. Step 3: Cross multiply
    704.85x = 1,056.97 × 542.65
  4. Step 4: Simplify right side
    704.85x = 573,564.77
  5. Step 5: Solve for x
    x = 573,564.77/704.85
  6. Step 6: Final answer
    x = 813.74

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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.