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Finding the Fourth Proportional to 708.80, 977.00 and 533.84

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Solution

The fourth proportional to 708.80, 977.00 and 533.84 is: 735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.80 : 977.00 = 533.84 : x
  2. Step 2: Convert to fraction form
    708.80/977.00 = 533.84/x
  3. Step 3: Cross multiply
    708.80x = 977.00 × 533.84
  4. Step 4: Simplify right side
    708.80x = 521,554.13
  5. Step 5: Solve for x
    x = 521,554.13/708.80
  6. Step 6: Final answer
    x = 735.83

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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.