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Finding the Fourth Proportional to 708.64, 977.50 and 511.92

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Solution

The fourth proportional to 708.64, 977.50 and 511.92 is: 706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.64 : 977.50 = 511.92 : x
  2. Step 2: Convert to fraction form
    708.64/977.50 = 511.92/x
  3. Step 3: Cross multiply
    708.64x = 977.50 × 511.92
  4. Step 4: Simplify right side
    708.64x = 500,401.80
  5. Step 5: Solve for x
    x = 500,401.80/708.64
  6. Step 6: Final answer
    x = 706.14

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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.