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Finding the Fourth Proportional to 708.75, 977.00 and 533.79

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Solution

The fourth proportional to 708.75, 977.00 and 533.79 is: 735.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.75 : 977.00 = 533.79 : x
  2. Step 2: Convert to fraction form
    708.75/977.00 = 533.79/x
  3. Step 3: Cross multiply
    708.75x = 977.00 × 533.79
  4. Step 4: Simplify right side
    708.75x = 521,510.16
  5. Step 5: Solve for x
    x = 521,510.16/708.75
  6. Step 6: Final answer
    x = 735.82

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