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Finding the Fourth Proportional to 709.28, 977.80 and 498.82

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Solution

The fourth proportional to 709.28, 977.80 and 498.82 is: 687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.28 : 977.80 = 498.82 : x
  2. Step 2: Convert to fraction form
    709.28/977.80 = 498.82/x
  3. Step 3: Cross multiply
    709.28x = 977.80 × 498.82
  4. Step 4: Simplify right side
    709.28x = 487,746.20
  5. Step 5: Solve for x
    x = 487,746.20/709.28
  6. Step 6: Final answer
    x = 687.66

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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.