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Finding the Fourth Proportional to 708.92, 978.54 and 501.56

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Solution

The fourth proportional to 708.92, 978.54 and 501.56 is: 692.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.92 : 978.54 = 501.56 : x
  2. Step 2: Convert to fraction form
    708.92/978.54 = 501.56/x
  3. Step 3: Cross multiply
    708.92x = 978.54 × 501.56
  4. Step 4: Simplify right side
    708.92x = 490,796.52
  5. Step 5: Solve for x
    x = 490,796.52/708.92
  6. Step 6: Final answer
    x = 692.32

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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.