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Finding the Fourth Proportional to 706.64, 973.50 and 576.50

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Solution

The fourth proportional to 706.64, 973.50 and 576.50 is: 794.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.64 : 973.50 = 576.50 : x
  2. Step 2: Convert to fraction form
    706.64/973.50 = 576.50/x
  3. Step 3: Cross multiply
    706.64x = 973.50 × 576.50
  4. Step 4: Simplify right side
    706.64x = 561,222.75
  5. Step 5: Solve for x
    x = 561,222.75/706.64
  6. Step 6: Final answer
    x = 794.21

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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.