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Finding the Fourth Proportional to 706.50, 1,057.98 and 688.14

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Solution

The fourth proportional to 706.50, 1,057.98 and 688.14 is: 1,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.50 : 1,057.98 = 688.14 : x
  2. Step 2: Convert to fraction form
    706.50/1,057.98 = 688.14/x
  3. Step 3: Cross multiply
    706.50x = 1,057.98 × 688.14
  4. Step 4: Simplify right side
    706.50x = 728,038.36
  5. Step 5: Solve for x
    x = 728,038.36/706.50
  6. Step 6: Final answer
    x = 1,030.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.