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Finding the Fourth Proportional to 708.87, 977.76 and 552

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Solution

The fourth proportional to 708.87, 977.76 and 552 is: 761.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.87 : 977.76 = 552 : x
  2. Step 2: Convert to fraction form
    708.87/977.76 = 552/x
  3. Step 3: Cross multiply
    708.87x = 977.76 × 552
  4. Step 4: Simplify right side
    708.87x = 539,723.52
  5. Step 5: Solve for x
    x = 539,723.52/708.87
  6. Step 6: Final answer
    x = 761.39

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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.