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Finding the Fourth Proportional to 706.88, 975.02 and 437.60

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Solution

The fourth proportional to 706.88, 975.02 and 437.60 is: 603.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.88 : 975.02 = 437.60 : x
  2. Step 2: Convert to fraction form
    706.88/975.02 = 437.60/x
  3. Step 3: Cross multiply
    706.88x = 975.02 × 437.60
  4. Step 4: Simplify right side
    706.88x = 426,668.75
  5. Step 5: Solve for x
    x = 426,668.75/706.88
  6. Step 6: Final answer
    x = 603.59

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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.