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Finding the Fourth Proportional to 704.70, 973.62 and 547.92

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Solution

The fourth proportional to 704.70, 973.62 and 547.92 is: 757.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.70 : 973.62 = 547.92 : x
  2. Step 2: Convert to fraction form
    704.70/973.62 = 547.92/x
  3. Step 3: Cross multiply
    704.70x = 973.62 × 547.92
  4. Step 4: Simplify right side
    704.70x = 533,465.87
  5. Step 5: Solve for x
    x = 533,465.87/704.70
  6. Step 6: Final answer
    x = 757.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.