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Finding the Fourth Proportional to 708.70, 977.93 and 443.35

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Solution

The fourth proportional to 708.70, 977.93 and 443.35 is: 611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.70 : 977.93 = 443.35 : x
  2. Step 2: Convert to fraction form
    708.70/977.93 = 443.35/x
  3. Step 3: Cross multiply
    708.70x = 977.93 × 443.35
  4. Step 4: Simplify right side
    708.70x = 433,565.27
  5. Step 5: Solve for x
    x = 433,565.27/708.70
  6. Step 6: Final answer
    x = 611.78

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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.