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Finding the Fourth Proportional to 708, 976.32 and 638.16

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Solution

The fourth proportional to 708, 976.32 and 638.16 is: 880.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    708 : 976.32 = 638.16 : x
  2. Step 2: Convert to fraction form
    708/976.32 = 638.16/x
  3. Step 3: Cross multiply
    708x = 976.32 × 638.16
  4. Step 4: Simplify right side
    708x = 623,048.37
  5. Step 5: Solve for x
    x = 623,048.37/708
  6. Step 6: Final answer
    x = 880.01

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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.