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Finding the Fourth Proportional to 706.04, 975.21 and 509.21

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Solution

The fourth proportional to 706.04, 975.21 and 509.21 is: 703.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.04 : 975.21 = 509.21 : x
  2. Step 2: Convert to fraction form
    706.04/975.21 = 509.21/x
  3. Step 3: Cross multiply
    706.04x = 975.21 × 509.21
  4. Step 4: Simplify right side
    706.04x = 496,586.68
  5. Step 5: Solve for x
    x = 496,586.68/706.04
  6. Step 6: Final answer
    x = 703.34

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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.