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Finding the Fourth Proportional to 706.46, 975.02 and 588.27

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Solution

The fourth proportional to 706.46, 975.02 and 588.27 is: 811.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.46 : 975.02 = 588.27 : x
  2. Step 2: Convert to fraction form
    706.46/975.02 = 588.27/x
  3. Step 3: Cross multiply
    706.46x = 975.02 × 588.27
  4. Step 4: Simplify right side
    706.46x = 573,567.20
  5. Step 5: Solve for x
    x = 573,567.20/706.46
  6. Step 6: Final answer
    x = 811.89

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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.