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Finding the Fourth Proportional to 916, 1,264.80 and 708.64

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Solution

The fourth proportional to 916, 1,264.80 and 708.64 is: 978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    916 : 1,264.80 = 708.64 : x
  2. Step 2: Convert to fraction form
    916/1,264.80 = 708.64/x
  3. Step 3: Cross multiply
    916x = 1,264.80 × 708.64
  4. Step 4: Simplify right side
    916x = 896,287.87
  5. Step 5: Solve for x
    x = 896,287.87/916
  6. Step 6: Final answer
    x = 978.48

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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.