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Finding the Fourth Proportional to 708.42, 978.04 and 487.70

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Solution

The fourth proportional to 708.42, 978.04 and 487.70 is: 673.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.42 : 978.04 = 487.70 : x
  2. Step 2: Convert to fraction form
    708.42/978.04 = 487.70/x
  3. Step 3: Cross multiply
    708.42x = 978.04 × 487.70
  4. Step 4: Simplify right side
    708.42x = 476,990.11
  5. Step 5: Solve for x
    x = 476,990.11/708.42
  6. Step 6: Final answer
    x = 673.32

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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.