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Finding the Fourth Proportional to 706.80, 974.46 and 510.36

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Solution

The fourth proportional to 706.80, 974.46 and 510.36 is: 703.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.80 : 974.46 = 510.36 : x
  2. Step 2: Convert to fraction form
    706.80/974.46 = 510.36/x
  3. Step 3: Cross multiply
    706.80x = 974.46 × 510.36
  4. Step 4: Simplify right side
    706.80x = 497,325.41
  5. Step 5: Solve for x
    x = 497,325.41/706.80
  6. Step 6: Final answer
    x = 703.63

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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.