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Finding the Fourth Proportional to 706.93, 974.52 and 496.46

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Solution

The fourth proportional to 706.93, 974.52 and 496.46 is: 684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.93 : 974.52 = 496.46 : x
  2. Step 2: Convert to fraction form
    706.93/974.52 = 496.46/x
  3. Step 3: Cross multiply
    706.93x = 974.52 × 496.46
  4. Step 4: Simplify right side
    706.93x = 483,810.20
  5. Step 5: Solve for x
    x = 483,810.20/706.93
  6. Step 6: Final answer
    x = 684.38

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1.5x scale

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.