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Finding the Fourth Proportional to 706.56, 974.28 and 444.12

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Solution

The fourth proportional to 706.56, 974.28 and 444.12 is: 612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.56 : 974.28 = 444.12 : x
  2. Step 2: Convert to fraction form
    706.56/974.28 = 444.12/x
  3. Step 3: Cross multiply
    706.56x = 974.28 × 444.12
  4. Step 4: Simplify right side
    706.56x = 432,697.23
  5. Step 5: Solve for x
    x = 432,697.23/706.56
  6. Step 6: Final answer
    x = 612.40

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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.